Question

Factorise:
(vi) 64(a - b)2 - 81(a + b)2​
​

Answer 1

Step-by-step explanation:

we can write the equation as

8²(a-b)²-9²(a-b)²

(8(a-b))²- (9(a-b))²

(8a-8b)²-(9a-9b)². {x²-y²= (x+y) (x-y) }

(8a-8b + 9a - 9b) (8a - 8b - 9a + 9b)

(17a- 17 b) (-a +b)

taking 17 common

17 (a-b) (b-a)

or -17 (a-b)²

or -17 (b-a)²