Factor 72 y+108 z to identify the equivalent expressions. Choose 2 answers: (A) 9(7y+12 z) (B) 36(2y+3z) (C) 6(18 y+12 z) (D) 12(6y+9z)

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Identify GCF: Step Title: Identify the Greatest Common Factor (GCF) Concise Step Description: Determine the greatest common factor of the terms in the expression. Step Calculation: The GCF of 72y and 108z is 36, since 36 is the largest number that divides both 72 and 108.Factor Out GCF: Step Title: Factor Out the GCF Concise Step Description: Factor out the GCF from the expression. Step Calculation: Factoring out 36 from 72y gives 36 * 2y, and factoring out 36 from 108z gives 36 * 3z. So, the factored expression is 36(2y + 3z).Verify Factored Expression: Step Title: Verify the Factored Expression Concise Step Description: Check if the factored expression is equivalent to the original expression. Step Calculation: Multiplying the factored expression 36(2y + 3z) gives 36 * 2y + 36 * 3z, which simplifies to 72y + 108z, the original expression.Compare with Answer Choices: Step Title: Compare with the Answer Choices Concise Step Description: Compare the factored expression with the given answer choices. Step Calculation: The factored expression 36(2y + 3z) matches with choice B. To check for another equivalent expression, we can look for a factor of 36 that is also a factor of the coefficients in the expression 2y + 3z. Since 9 is a factor of 36, we can rewrite the expression as 9(8y + 12z), which simplifies to 9(8 * y + 12 * z). However, this does not match the original coefficients of 2y and 3z, so there is no other equivalent expression among the choices.

Factor $72y+108z$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ (A) $9(7y+12z)$ $\newline$ (B) $36(2y+3z)$ $\newline$ (C) $6(18y+12z)$ $\newline$ (D) $12(6y+9z)$

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Factor 72y+108z72y+108z72y+108z to identify the equivalent expressions.\newlineChoose 222 answers:\newline(A) 9(7y+12z)9(7y+12z)9(7y+12z)\newline(B) 36(2y+3z)36(2y+3z)36(2y+3z)\newline(C) 6(18y+12z)6(18y+12z)6(18y+12z)\newline(D) 12(6y+9z)12(6y+9z)12(6y+9z)

Factor $72y+108z$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ (A) $9(7y+12z)$ $\newline$ (B) $36(2y+3z)$ $\newline$ (C) $6(18y+12z)$ $\newline$ (D) $12(6y+9z)$