Question

Factorise:-- a(x-y) + b(x²-y²)​

Answer 1

Answer:

$a(x-y) + b(x^2-y^2)=(x-y)(a+b(x+y))$

Step-by-step explanation:

$a(x-y) + b(x^2-y^2)$

By using the algebraic identity,

$a^2-b^2=(a+b)(a-b)$

We can write the term

$x^2-y^2$ as $(x+y)(x-y)$

$a(x-y) + b(x^2-y^2)\\ \\ a(x-y)+b(x^2-y^2)\\ \\ a(x-y)+b(x+y)(x-y)$

Taking $(x-y)$ common from the above algebraic expression.

$(x-y)(a+b(x+y))$

Answer 2

Answer:

Step-by-step explanation: