Question

Factorise ( x^2 - 5x)^2 - 36​

Answer 1

Step-by-step explanation:

(x²-5x)²-36

=(x²-5x)²-(6)²

=(x²-5x-6)(x²-5x+6)

=(x²+x-6x-6)(x²-3x-2x+6)

=x(x+1)-6(x+1)x(x-3)-2(x-3)

=(x-6)(x+1)(x-3)(x-2)

Answer 2

Answer:

$\sf(x^2−5x)^2−36=(x^2−5x)^2−(6)^2 \\ \\ \sf \red{ Using \: Above \: Identify}</p><p> \\ \\ \sf[∵a^2−b^2=(a+b)(a−b)] \\ \\ \sf(x^2−5x+6)(x^2−5x−6)$