Question

(viii) (a² + 9b² - c²)²- 36a²b²​

Answer 1

Answer:

Step-by-step explanation:

(a²+9b²-c²)²-36a²b²

=(a²+9b²-c²)²-(6ab)²

=(a²+9b²-c²+6ab)(a²+9b²-c²-6ab)

=(a²+9b²+6ab-c²)(a²+9b²-6ab-c²)

={(a+3b)²-c²}{(a-3b)²-c²}

=(a+3b+c)(a+3b-c)(a-3b+c)(a-3b-c)

The identity x²-y²=(x+y)(x-y)is applied here.