Question

factorise
$4(x - y) ^{2} - 12(x - y) + 9$
​

Answer 1

Answer:

4x(x-3)+4y(y+3)-8xy+9

Answer 2

Answer:

let (x-y) =p

now

4(x - y) ^{2} - 12(x - y) + 9

=4p ^2 -12p + 9

=4p^2-6p-6p+9

=2p(2p-3)-3(2p-3)

=(2p-3)(2p-3)

=(2x-2y-3)(2x-2y+3)

or u can apply the formula

(a-b)^2=a^2-2ab+b^2

..............

4p ^2 -12p + 9

=(2p)^2-(2×2p×3)+(3)^2

=(2p-3)^2

=(2p-3)(2p-3)

=(2x-2y-3)(2x-2y+3)