Question

factorise the polynomial ax2 + bx2 - ay2 - by2

Answer 1

=ax2+bx2-ay2-by2
=x2 (a+b)-y2 (a+b)
=(x2-y2)(a+b)
=(x+y) (x-y)(a+b)

Answer 2

Answer:

ax²+bx²-ay²-by² = (a+b)(x+y)(x-y)

Explanation:

Factorisation of the polyomial

ax²+bx²-ay²-by²

= x²(a+b)-y²(a+b)

= (a+b)(x²-y²)

= (a+b)(x+y)(x-y)

/* By algebraic identity

x²-y² = (x+y)(x-y) */

Therefore,

ax2 + bx2 - ay2 - by2

= (a+b)(x+y)(x-y)

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