Advertisements
Advertisements
Question
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
`x^2/4 - 2x + 4`
Sum
Advertisements
Solution
We have,
`x^2/4 - 2x + 4`
= `(x/2)^2 - 2 xx x/2 xx 2 + 2^2`
= `(x/2 - 2)^2`
= `(x/2 - 2)(x /2 - 2)`
shaalaa.com
Is there an error in this question or solution?
Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]
APPEARS IN
RELATED QUESTIONS
Expand: (5x - 4)2
Expand (5p – 1)2
Expand the following square, using suitable identities
(b – 7)2
Factorise the following using suitable identity
x2 – 8x + 16
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
x2 – 10x + 25
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
a2y2 – 2aby + b2
Factorise the following.
y2 – 2y – 15
Factorise the following.
x2 – 10x + 21
Factorise the following.
p2 – 13p – 30
Verify the following:
(a – b)(a – b)(a – b) = a3 – 3a2b + 3ab2 – b3
