Let us factorise the following algebraic expressions:
x² – y² – 6ax + 2ay + 8a²

Question

Let us factorise the following algebraic expressions: x 2 – y 2 – 6ax + 2ay + 8a 2

Philoid · Accepted Answer

Given,x² – y² – 2(3ax) + 2ay + 9a² – a²

⇒ x² – 2(3a)(x) + (3a)² – (a² – 2ay + y²)

⇒ (x – 3a)² – (a – y)²

⇒ (x – 3a – a + y)(x – 3a + a – y)

[Since, from the identity III we know that, (x² – y²) = (x – y)(x + y)]

⇒ (x – 4a + y)(x – 2a – y)

Let us factorise the following algebraic expressions:x2 – y2 – 6ax + 2ay + 8a2