Advertisements
Advertisements
Question
Factorise the following using suitable identity
64x2 – 112xy + 49y2
Advertisements
Solution
64x2 – 112xy + 49y2 = 82x2 – (2 × 8x × 7y) + 72y2
This expression is of the form of identity
a2 – 2ab + b2 = (a – b)2
(8x)2 – (2 × 8x × 7y) + (7y)2 = (8x – 7y)2
64x2 – 112xy + 49y2 = (8x – 7y)(8x – 7y)
APPEARS IN
RELATED QUESTIONS
Expand `("x"-2/"x")^2`
Evaluate the following, using suitable identity
9982
(a – b)2 + ______ = a2 – b2
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
p2 – 2p + 1
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
4a2 – 4ab + b2
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
p2y2 – 2py + 1
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
a2y3 – 2aby2 + b2y
Factorise the following.
y2 + 4y – 21
If m – n = 16 and m2 + n2 = 400, then find mn.
Verify the following:
(a – b)(a – b)(a – b) = a3 – 3a2b + 3ab2 – b3
