Advertisements
Advertisements
Question
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
Advertisements
Solution
Given, area of rectangle = 4a2 + 6a – 2a – 3
= 4a2 + 4a – 3 ...[By splitting middle term]
= 2a(2a + 3) – 1(2a + 3)
= (2a – 1)(2a + 3)
Hence, possible length = 2a – 1 and breadth = 2a + 3
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(2x – y + z)2
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Write in the expanded form: (ab + bc + ca)2
Write in the expand form: `(2x - y + z)^2`
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If a + b = 10 and ab = 21, find the value of a3 + b3
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
1043 + 963
Evaluate:
483 − 303 − 183
If \[\frac{a}{b} + \frac{b}{a} = - 1\] then a3 − b3 =
\[\frac{( a^2 - b^2 )^3 + ( b^2 - c^2 )^3 + ( c^2 - a^2 )^3}{(a - b )^3 + (b - c )^3 + (c - a )^3} =\]
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
If x + y = 9, xy = 20
find: x - y
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
