Factor 60-36 w to identify the equivalent expressions. Choose 2 answers: A 6(10-6w) B 4(15-8w) C 12(5-3w) D 3(20+12 w)

Question

Factor  60-36 w to identify the equivalent expressions. Choose 2 answers: A  6(10-6w) B  4(15-8w) C  12(5-3w) D  3(20+12 w)

Bytelearn · Accepted Answer

Determine GCF of 60 and -36w: Determine the Greatest Common Factor (GCF) of 60 and -36w. The GCF of 60 and 36 is 12, and since we are also factoring out a variable w, the GCF of 60 and -36w is 12w.Write factored form using GCF: Write 60 - 36w in the factored form using the GCF. The factored form of 60 - 36w is 12w(5 - 3w).Compare with given choices: Compare the factored form with the given choices to identify the equivalent expressions. The factored form we found is 12w(5 - 3w), but we need to compare it with the given choices without the variable w, as the choices are in terms of 60 - 36w, not 60w - 36w^2. Therefore, the correct factored form to compare is 12(5 - 3w).Choose equivalent expressions: Choose the equivalent expressions for 60 - 36w from the given choices. Looking at the choices: A) 6(10 - 6w) is not equivalent because 6 is not the GCF. B) 4(15 - 8w) is not equivalent because 4 is not the GCF and the factors are incorrect. C) 12(5 - 3w) is equivalent because it matches the factored form we found. D) 3(20 + 12w) is not equivalent because the sign of the second term is positive and the factors are incorrect.Confirm correct choices: Confirm the correct choices. The correct choices that are equivalent to the factored expression of 60 - 36w are: C) 12(5 - 3w)

Factor $60-36 w$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $6(10-6 w)$ $\newline$ B $4(15-8 w)$ $\newline$ C $12(5-3 w)$ $\newline$ D $3(20+12 w)$

Full solution

More problems from Factor numerical expressions using the distributive property

Related topics

Factor 60−36w 60-36 w 60−36w to identify the equivalent expressions.\newlineChoose 222 answers:\newlineA 6(10−6w) 6(10-6 w) 6(10−6w)\newlineB 4(15−8w) 4(15-8 w) 4(15−8w)\newlineC 12(5−3w) 12(5-3 w) 12(5−3w)\newlineD 3(20+12w) 3(20+12 w) 3(20+12w)

Factor $60-36 w$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $6(10-6 w)$ $\newline$ B $4(15-8 w)$ $\newline$ C $12(5-3 w)$ $\newline$ D $3(20+12 w)$