Question

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

Answer 1

x(x+z)−y(y+z)

= x²+zx−y²−yz

=  x²−y²+zx−yz

= (x²−y²)+z(x−y)

=(x−y)(x+y)+z(x−y)

=(x−y)[x+y+z]


Hope it helps:)

Answer 2

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) is the answer
hope this helps