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Chapters
2: Exponents
3: Squares and Square Root
4: Cubes and Cube Roots
5: Playing with Numbers
6: Sets
7: Percent and Percentage
8: Profit, Loss and Discount
9: Interest
10: Direct and Inverse Variations
11: Algebraic Expressions
▶ 12: Identities
13: Factorisation
14: Linear Equations in one Variable
15: Linear Inequations
16: Understanding Shapes
17: Special Types of Quadrilaterals
18: Constructions
19: Representing 3-D in 2-D
20: Area of a Trapezium and a Polygon
21: Surface Area, Volume and Capacity
22: Data Handling
23: Probability
![Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities - Shaalaa.com](/images/concise-mathematics-english-class-8-icse_6:3b78c4422443458583dde48f228ef792.jpg "Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities")
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Solutions for Chapter 12: Identities
Below listed, you can find solutions for Chapter 12 of CISCE Selina for Concise Mathematics [English] Class 8 ICSE.
Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (A) [Page 150]
Use the direct method to evaluate the following products:
(x + 8)(x + 3)
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(2+a) (2−a)
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
(4+5x) (4−5x)
Use the direct method to evaluate :
(2a+3) (2a−3)
Use the direct method to evaluate :
(xy+4) (xy−4)
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate : (a+1) (a-1) (a2+1)
Evaluate : (a+b) (a−b) (a2+b2)
Evaluate : (2a−b) (2a+b) (4a2+b2)
Evaluate : (3−2x) (3+2x) (9+4x2)
Evaluate : (3x−4y) (3x+4y) (9x2+16y2)
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
21 x 19
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
33 x 27
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
103 x 97
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
9.8 x 10.2
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
7.7 x 8.3
Use the product (a + b) (a – b) = a2 – b2 to evaluate:
4.6 x 5.4
Evaluate: (6 – xy) (6 + xy)
Evaluate : `(7"x"+2/3"y")(7"x"-2/3"y")`
Evaluate : `("a"/(2"b")+(2"b")/"a")("a"/(2"b")-(2"b")/"a")`
Evaluate : `(3"x"-1/(2"y"))(3"x"+1/(2"y"))`
Evaluate: (2a + 3) (2a − 3) (4a2 + 9)
Evaluate : (a + bc) (a − bc) (a2 + b2c2)
Evaluate : (5x + 8y) (3x + 5y)
Evaluate : (7x + 15y) (5x − 4y)
Evaluate : (2a − 3b) (3a + 4b)
Evaluate : (9a − 7b) (3a − b)
Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (B) [Page 152]
Expand : (2a + b)2
Expand : (a – 2b)2
Expand: `("a"+1/(2"a"))^2`
Expand : `(2"a"-1/"a")^2`
Expand : (a+b−c)2
Expand : (a−b+c)2
Expand : `(3"x"+1/(3"x"))^2`
Expand : `(2"x"-1/(2"x"))^2`
Find the square of x+ 3y
Find the square of 2x − 5y
Find the square of `"a"+1/(5"a")`
Find the square of `2"a"-1/"a"`
Find the square of x − 2y +1
Find the square of 3a − 2b − 5c
Find the square of `2"x"+1/"x"+1`
Find the square of `5-x+2/x`
Find the square of 2x − 3y + z
Find the square of `"x"+1/"x"-1`
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(208)2
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(92)2
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(415)2
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(188)2
Evaluate using the expansion of (a + b)2 or (a – b)2:
(9.4)2
Evaluate using the expansion of (a + b)2 or (a – b)2 :
(20.7)2
Expand : (2a + b)3
Expand : (a − 2b)3
Expand : (3x − 2y)3
Expand : (x + 5y)3
Expand : `("a"+1/"a")^3`
Expand : `(2"a"-1/(2"a"))^3`
Find the cube of: a + 2
Find the cube of: 2a − 1
Find the cube of: 2a + 3b
Find the cube of: 3b − 2a
Find the cube of: `2"x"+1/"x"`
Find the cube of: `"x"-1/2`
Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (C) [Pages 154 - 155]
If a+b=5 and ab = 6, find a2 + b2
If a – b = 6 and ab = 16, find a2 + b2
If a2 + b2 = 29 and ab = 10, find : a + b
If a2 + b2 = 29 and ab = 10, find : a − b
If a2 + b2= 10 and ab = 3; find : a – b
If a2 + b2= 10 and ab = 3; find : a + b
If `"a" + 1/"a"=3`, find `"a"^2+1/"a"^2`
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`
If `"a"^2+ 1/"a"^2=11`, find : `"a" -1/"a"`
If a + b + c = 10 and a2 + b2 + c2 = 38, find : ab + bc + ca
Find: a2 + b2 + c2, if a + b + c = 9 and ab + bc + ca = 24
Find : a + b + c, if a2 + b2 + c2 = 83 and ab + bc + ca = 71.
If a + b = 6 and ab = 8, find: a3 + b3.
If a – b = 3 and ab = 10, find : a3 – b3.
Find : `"a"^3+1/"a"^3`, if `"a" +1/"a"=5`.
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
If `2"x"-1/(2"x")=4`, find: `8"x"^3-1/(8"x"^3)`
If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`
If `3"x"+1/(3"x")=3`, find : `27"x"^3+1/(27"x"^3)`
The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.
Selina solutions for Concise Mathematics [English] Class 8 ICSE 12 Identities Exercise 12 (D) [Page 155]
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate: (9 − y) (7 + y)
Evaluate: (2 − z) (15 − z)
Evaluate: (a2 + 5) (a2 − 3)
Evaluate: (4 − ab) (8 + ab)
Evaluate: (5xy − 7) (7xy + 9)
Evaluate: (3a2 − 4b2) (8a2 − 3b2)
Evaluate: `(2"x"-3/5)(2"x"+3/5)`
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Evaluate: (6 − 5xy) (6 + 5xy)
Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`
Evaluate: (4x2 − 5y2) (4x2 + 5y2)
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Evaluate: (m + 3) (m − 3) (m2 + 9)
Evaluate: (3x + 4y) (3x − 4y) (9x2 + 16y2)
Evaluate: (a + bc) (a − bc) (a2 + b2c2)
Evaluate: 203 × 197
Evaluate: 20.8 × 19.2
Find the square of `3"x"+2/"y"`
Find the square of `"5a"/"6b"-"6b"/"5a"`
Find the square of `2"m"^2-2/3"n"^2`
Find the square of `5"x"+1/(5"x")`
Find the square of `8"x"+3/2"y"`
Find the square of 607
Find the square of 391
Find the square of 9.7
If `"a" +1/"a"=2`, find : `"a"^2+1/"a"^2`
If `"a" +1/"a"=2`, find: `"a"^4+1/"a"^4`
If `"m" -1/"m"=5`, find : `"m"^2+1/"m"^2`
If `"m" -1/"m"=5`, find: `"m"^4+1/"m"^4`
If `"m" -1/"m"=5`, find: `"m"^2-1/"m"^2`
If a2 + b2 = 41 and ab = 4, find : a – b
If a2 + b2 = 41 and ab = 4, find : a + b
If `2"a"+1/(2"a")=8`, find : `4"a"^2+1/(4"a"^2)`
If `2"a"+1/(2"a")=8`, find : `16"a"^4+1/(16"a"^4)`
If `3"x"-1/(3"x")=5`, find : `9"x"^2+1/(9"x"^2)`
If `3"x"-1/(3"x")=5`, find : `81"x"^4+1/(81"x"^4)`
Expand : (3x – 4y + 5z)2
Expand : (2a – 5b – 4c)2
Expand : (5x + 3y)3
Expand : (6a – 7b)3
If a + b + c = 9 and ab + bc + ca = 15, find: a2 + b2 + c2.
If a + b + c = 11 and a2 + b2 + c2 = 81, find : ab + bc + ca.
If 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
If a + b = 8 and ab = 15, find a3 + b3.
If 3x + 2y = 9 and xy = 3, find : 27x3 + 8y3.
If 5x – 4y = 7 and xy = 8, find : 125x3 – 64y3.
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
Solutions for 12: Identities
Selina solutions for Concise Mathematics [English] Class 8 ICSE chapter 12 - Identities
Shaalaa.com has the CISCE Mathematics Concise Mathematics [English] Class 8 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics Concise Mathematics [English] Class 8 ICSE CISCE 12 (Identities) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Concise Mathematics [English] Class 8 ICSE chapter 12 Identities are Algebraic Identities, Product of Sum and Difference of Two Terms, Important Formula of Expansion, Cubes of Binomials, Application of Formulae, Expansion Form of Numbers.
Using Selina Concise Mathematics [English] Class 8 ICSE solutions Identities exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE Concise Mathematics [English] Class 8 ICSE students prefer Selina Textbook Solutions to score more in exams.
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