Question

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)

Answer 1

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)