Question

Factorise the followingx(x+z)-y(y+z)

Answer 1

AnswEr:—

[i] x(x + z) - y(y + z)

= x² + xz - y² - yz

= x² - y² + xz - yz

= (x + y)(x - y) + z(x - y)

= (x - y)(x + y + z)