Factor 18 p-36 to identify the equivalent expressions. Choose 2 answers: (A) 3(9p-12) (B) 9(2p-4p) (C) 2(9p-18) (D) 18(p-2)

Identify GCF: First, identify the greatest common factor (GCF) of the terms in the expression 18p - 36. The GCF is 18.Factor out GCF: Next, factor out the GCF (18) from each term in the expression. This gives us 18(p - 2).Compare with Options: Now, compare the factored expression 18(p - 2) with the given options to identify the equivalent expressions.Option A Analysis: Option A, 3(9p-12), is not equivalent because factoring out a 3 does not match the original expression's GCF of 18.Option B Analysis: Option B, 9(2p-4p), is incorrect because it simplifies to 9(-2p), which does not match the original expression.Option C Analysis: Option C, 2(9p-18), is not equivalent because factoring out a 2 does not match the original expression's GCF of 18.Option D Analysis: Option D, 18(p-2), is equivalent to the factored form of the original expression, 18p - 36.

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Factor 18 p-36 to identify the equivalent expressions.
Choose 2 answers:
(A) 3(9p-12)
(B) 9(2p-4p)
(C) 2(9p-18)
(D) 18(p-2)

Factor $18 p-36$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ (A) $3(9p-12)$ $\newline$ (B) $9(2p-4p)$ $\newline$ (C) $2(9p-18)$ $\newline$ (D) $18(p-2)$

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Math Problems

Algebra 2

Sum of finite series starts from 1

Full solution

Q. Factor

18 p-36

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

(A)

3(9p-12)

\newline

(B)

9(2p-4p)

\newline

(C)

2(9p-18)

\newline

(D)

18(p-2)

Identify GCF: First, identify the greatest common factor (GCF) of the terms in the expression $18p - 36$ . The GCF is $18$ .
Factor out GCF: Next, factor out the GCF $18$ from each term in the expression. This gives us $18(p - 2)$ .
Compare with Options: Now, compare the factored expression $18(p - 2)$ with the given options to identify the equivalent expressions.
Option A Analysis: Option A, $3(9p-12)$ , is not equivalent because factoring out a $3$ does not match the original expression's GCF of $18$ .
Option B Analysis: Option B, $9(2p-4p)$ , is incorrect because it simplifies to $9(-2p)$ , which does not match the original expression.
Option C Analysis: Option C, $2(9p-18)$ , is not equivalent because factoring out a $2$ does not match the original expression's GCF of $18$ .
Option D Analysis: Option D, $18(p-2)$ , is equivalent to the factored form of the original expression, $18p - 36$ .