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Factor completely. $242g^2-288$

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Factor polynomials

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Q. Factor completely.

242g^2-288

Identify GCF: Identify the greatest common factor (GCF) of the terms $242g^2$ and $288$ . The GCF of $242$ and $288$ is $2$ .
Divide and Simplify: Divide each term by the GCF to find the simplified expression. $\newline$ $(242g^2 \div 2) - (288 \div 2) = 121g^2 - 144$
Recognize Perfect Squares: Recognize that $121g^2$ is a perfect square $(11g)^2$ and $144$ is also a perfect square $12^2$ . We can now express the equation as a difference of squares: $(11g)^2 - (12)^2$ .
Factor Difference of Squares: Factor the difference of squares using the identity $a^2 - b^2 = (a + b)(a - b)$ . The factored form is $(11g + 12)(11g - 12)$ .

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