Question

108b^2 are" alt="the factor of 3a^2 - 108b^2 are" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

The factors are 3, a- 6b and a + 6b

Explanation:

Given

$3a^2 -108b^2$

Required

The factors

$3a^2 -108b^2 =$

Factor 3 out

$3a^2 -108b^2 = 3(a^2 - 36b^2)$

Express 36 as $6^2$

$3a^2 -108b^2 = 3(a^2 - 6^2*b^2)$

$3a^2 -108b^2 = 3(a^2 - (6b)^2)$

Apply difference of two squares

$3a^2 -108b^2 = 3(a - 6b)(a + 6b)$

So, the factors are 3, a- 6b and a + 6b