Question

Resolve into factors.
a)x4-5x2y2+4y4

Answer 1

x^4-5x^2y^2+ 4y^4 = (x^2-4y^2)(x^2-y^2)

Explanation:

Here in this question, we are to resolve the given expression into factors

x^4-5x^2y^2+ 4y^4

That can be rewritten as;

x^4-x^2y^2-4x^2y^2+4y^4

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

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