Question

factorise
x(x+z)-y(y+z)​

Answer 1

Answer:

≈ x² + z - y² + z

≈ x² + z² - y² = xzy⁶

the answer is xyz⁶

Answer 2

Answer:

Given :-

➪ x(x + z) - y(y + z)

Solution :-

➪ 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)

∴ The answer of this question is

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

Formula used :-

➪ a² - b²

➭ (a + b) (a - b)