Question

factorize 7x² - 63y²​

Answer 1

Answer:

answer is (√7x+3√7)(√7x-3√7)

Answer 2

7x² - 63y²

By taking the common factor outside,

7(x² - 9y²)

Identity to use to factorize x² - 9y² : a²- b² = (a-b)(a+b)

7[(x)² - (3y)²]

7[(x-3y)(x+3y)]

Factorised form of 7x² - 63y² : 7[(x-3y)(x+3y)]

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Some more identities :

(a+b)² = a² + 2ab + b²

(a-b)² = a² - 2ab + b²

(a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca

(x+a)(x+b) =™x² + x(a+b) + (a×b)

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