Question

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

Answer 1

Hi dear.....
here is your solution....

Answer 2

Solution:---
$x(x + z) - y(y + z) \\ {x}^{2} + xz - {y}^{2} - yz \\ {x}^{2} - {y}^{2} + xz - yz$
$we \: know \: that \: {x}^{2} - {y}^{2} \\ = (x - y)(x + y)$
So,
${x}^{2} - {y}^{2} + xz - yz \\ (x + y)(x - y) + z(x - y) \\ (x - y)(x + y + z)$