Question

factorise x^2 + 3x + 2 + ax + 2a​

Answer 1

$\large\underline{\bold{Solution :- }}$

$\tt \:  ⟼factorise : \: {x}^{2} + 3x + 2 + ax + 2a$

$\tt \:  = ( {x}^{2} + 2x + x + 2) + ax + 2a$

$\tt \:  = \bigg( x(x + 2) + 1(x + 2) \bigg) + a(x + 2)$

$\tt \:  = (x + 2)(x + 1) + a(x + 2)$

$\tt \:  = (x + 2)(x + 1 + a)$

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