Question

Factorise: x^4- x^2*y^2-72y^4

Answer 1

Use 8 and 9.

x4 + 8x2y2 - 9x2y2 - 72y4

Answer 2

Answer: x(x + 1)(x - 1)y^2(1 - 72y^2)

Step-by-step explanation:

(x^4 - x^2)(y^2 - 72y^4)

a.) Factor (x^4 - x^2)

=(x^2 + x)(x^2 - x)(y^2 - 72y^4)

b.) Find the GCF for (y^2 - 72y^4) which is y^2

=(x^2 + x)(x^2 - x)y^2(1 - 72y^2)

c.) Find the GCF for (x^2 + x)(x^2 - x) which is x

=x(x + 1)(x - 1)y^2(1 - 72y^2) <—Answer