Question

Factorise 4a²-4b²+ 4a+1​

Answer 1

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☞ Factorisation of the above expression is (2a+1+2b)(2a+1-2b)

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☆ 4a²-4b²+4a+1

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☆ Factorisation of the above expression.

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➝ 4a²-4b²+4a+1

➝ (4a²+4a+1)-4b²

➝ [(2a)²+2(2a)(1)+(1)²] -4b²

➝ (2a+1)²-(2b)²

➝ $\sf\orange{(2a+1+2b)(2a+1-2b)}$

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More formulas

(a-b)³ = a³-b³-3ab(a-b)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab

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