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Question 12(Multiple Choice Worth 1 points)(07.04 LC)Factor completely 36x² - 49.(3x + 7)(12x-7)(3x-7)(12x+7)(6x-7)(6x-7)(6x + 7)(6x-7)

User Lithicas
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1 Answer

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The factor the binomial


a^2-b^2

Find the square root of a and the square root of b, then put them as the product of the sum and difference of these square roots


\begin{gathered} √(a^2)=a \\ √(b^2)=b \\ a^2-b^2=(a+b)(a-b) \end{gathered}

We will use this rule to factor in the given expression


36x^2-49

Find the square root for each term


\begin{gathered} √(36x^2)=6x \\ √(49)=7 \end{gathered}

Write the two factors


36x^2-49=(6x+7)(6x-7)

The answer is the last choice (6x + 7)(6x - 7)

User SNM
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