(viii) (a² + 9b² - c²)²- 36a²b²
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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.
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