Advertisements
Advertisements
प्रश्न
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Advertisements
उत्तर
Area = Length × Breadth
The expression given for the area of the rectangle has to be factorised. One of its factors will be its length and the other will be its breadth.
Area of a rectangle = (Length) × (Breadth)
25a2 – 35a + 12 = 25a2 – 15a − 20a + 12
= 5a(5a – 4) – 3(5a – 4)
= (5a – 4)(5a – 3)
Possible expression for length = 5a – 4
Possible expression for breadth = 5a – 3
APPEARS IN
संबंधित प्रश्न
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
Write in the expanded form: (-2x + 3y + 2z)2
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
Evaluate of the following:
(598)3
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Find the squares of the following:
3p - 4q2
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If a - b = 10 and ab = 11; find a + b.
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Using suitable identity, evaluate the following:
1033
Factorise the following:
4x2 + 20x + 25
Factorise the following:
9y2 – 66yz + 121z2
Find the following product:
(x2 – 1)(x4 + x2 + 1)
