Factorize-2- aa-b3-3 a2 ba-b

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Polynomials

Factorize:2. ...

Question

Factorize:

2. a(a+b)³ − 3a²b (a + b)

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Solution

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Factorise:

$a (a + b)^{3} - 3 a^{2} b (a + b)$

{(b + c)}^{3} + {(c + a)}^{3} + {(a + b)}^{3} - 3 (b + c) (c + a) (a + b) = 2 (a^{3} + b^{3} + c^{3} - 3 a b c)

a^{3} + b^{3} + a + b

a - b - a^{3} + b^{3}

Factorize $a^{3} + b^{3} + a + b$

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