Mathematics
Factorize:
x(x + z) - y(y + z)
Factorisation
1 Like
Answer
Given,
⇒ x(x + z) - y(y + z)
⇒ x2 + xz - y2 - yz
⇒ x2 - y2 + xz - yz
⇒ x2 - y2 + z(x - y)
⇒ (x - y)(x + y) + z(x - y)
⇒ (x - y)(x + y + z).
Hence, x(x + z) - y(y + z) = (x - y)(x + y + z).
Answered By
1 Like