Question

Factorise




$a ^{2} + 7a + 12$


ans =(a+3)(a+4)

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Answer 1

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Answer 2

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Q1)Factorize :

$\: \: (1) \: \bf{ {a}^{2} + 7a + 12 = 0}$

$\: \: \implies \displaystyle \tt{ \red{ { a}^{2} + 7a + 12 = 0}}$

$\: \: \implies \displaystyle \tt{ \red{ {a}^{2} + 4a + 3a + 12 = 0}}$

$\: \: \implies \displaystyle \tt{ \red{a(a + 4) + 3(a + 4) = 0}}$

$\: \implies \displaystyle \tt{ \red{(a + 4)(a + 3) = 0}}$

$\: \\ \implies \displaystyle \tt{ \red{(a + 4 ) = 0 \: and \: (a + 3) = 0}}$

$\: \implies \displaystyle \tt{ \red{a + 4 = 0 \: and \: a + 3 = 0}}$

$\: \implies \displaystyle \tt{ \red{a = - 4 \: and \: a = - 3}}$

$\: \bigstar \boxed{ \displaystyle \sf{ \green{a = - 4 \: and \: a = - 3 \: is \: the \: solution}}}$