Factorise the following: 4a 2 - b 2 + 2a + b

4a 2 - b 2 + 2a + b = (2a) 2 - b 2 + 2a + b. Using identity, a 2 - b 2 = (a - b)(a + b). (2a) 2 - b 2 + 2a + b = (2a - b)(2a + b) + (2a + b) = (2a + b)(2a - b + 1). Hence, 4a 2 - b 2 + 2a + b = (2a + b)(2a - b + 1).

Mathematics

Factorise the following:
4a² - b² + 2a + b

Factorisation

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Answer

4a² - b² + 2a + b = (2a)² - b² + 2a + b.

Using identity,

a² - b² = (a - b)(a + b).

(2a)² - b² + 2a + b = (2a - b)(2a + b) + (2a + b)

= (2a + b)(2a - b + 1).

Hence, 4a² - b² + 2a + b = (2a + b)(2a - b + 1).

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Mathematics

Factorise the following:
4a² - b² + 2a + b

Factorisation

Answer

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Factorise the following:4a2 - b2 + 2a + b

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