Question

3(a - 6) - 6(a - 6)^2

Answer 1

Step-by-step explanation:

I hope this may help you

Answer 2

QUESTION :

Factorize -

$3(a - 6) - 6 {(a - 6)}^{2}$

SOLUTION :

⟹ $3(a - 6) - 6 {(a - 6)}^{2}$

Now to factorize the above expression, first we will take out (a-6) as common :-

⟹ $(a - 6)( 3- 6 (a - 6))$

⟹ $(a - 6)( 3- 6a + 36)$

Now take out 3 as common :-

⟹ $3(a - 6)( 1- 2a + 12)$

ANSWER :

$3(a - 6)( 1- 2a + 12)$

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Formulae can be useful for factorisation:-

$\implies{(a+b)^2 = a^2 + b^2 + 2ab}$

$\implies{(a-b)^2 = a^2 + b^2 - 2ab}$

$\implies{(a+b)^3 = a^3 + b^3 + 3ab(a + b)}$

$\implies{(a-b)^3 = a^3 - b^3 - 3ab(a-b)}$

$\implies{(a^3+b^3)= (a+b)(a^2 - ab + b^2)}$

$\implies{(a^3-b^3)= (a-b)(a^2 + ab + b^2)}$

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