Question

resolve into factors a^2-9b^2-12b-4​

Answer 1

Step-by-step explanation:

${a}^{2} - 9 {b}^{2} - 12b - 4 \\ = {a}^{2} - (9 {b}^{2} + 12b + 4) \\ = {a}^{2} - ( {(3b)}^{2} + 2 \times 3b \times 2+ {2}^{2} ) \\ = {a}^{2} - {(3b + 2)}^{2}$

Now,

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

We can expand the result as

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

Answer 2

Step-by-step explanation:

(a)²-(3b-2)²

=(a+3b²)(a-3b²)

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