Question

factorise 4z^2 ─ x^2 + 2xy ─ y^2

Answer 1

Step-by-step explanation:

The first three terms of the expression is in the form (x+y)

2

and the fourth term is a perfect square.

Hence, x

2

+2xy+y

2

−4z

2

=(x+y)

2

−(2z)

2

=[(x+y)+2z][(x+y)−2z]

=(x+y+2z)(x+y−2z)