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)

Question

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)

Bytelearn · Accepted Answer

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the coefficients 72 and 108. Calculation: GCF of 72 and 108 is 36.Factor out GCF from expression: Factor out the GCF from the expression. Calculation: 36(2y + 3z)Check for further factoring: Check if the factored expression can be further factored. Calculation: 2y + 3z cannot be factored further as there is no common factor.Compare with given options: Compare the factored expression with the given options. Calculation: The factored expression 36(2y + 3z) matches option B.Verify equivalence with other options: Verify if any other options are equivalent to the factored expression. Calculation: None of the other options, A, C, or D, are equivalent to 36(2y + 3z) when simplified.

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

Full solution

More problems from Solve multi-step equations with fractional coefficients

Related topics

Factor 72y+108z 72 y+108 z 72y+108z to identify the equivalent expressions.\newlineChoose 222 answers:\newlineA 9(7y+12z) 9(7 y+12 z) 9(7y+12z)\newlineB 36(2y+3z) 36(2 y+3 z) 36(2y+3z)\newlinec 6(18y+12z) 6(18 y+12 z) 6(18y+12z)\newlineD 12(6y+9z) 12(6 y+9 z) 12(6y+9z)

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