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 GCF: We need to factor out the greatest common factor (GCF) from the expression 18p - 36. The GCF of 18p and 36 is 18. Factor out the GCF from the expression. 18p - 36 = 18(p - 2)Check Answer Choices A-D: Now let's check each answer choice to see if it is equivalent to 18(p - 2). A) 3(9p - 12) = 27p - 36, which is not equivalent to 18p - 36.Verify Equivalent Expressions: B) 9(2p - 4p) = 9(-2p), which simplifies to -18p, and this is not equivalent to 18p - 36.C) 2(9p - 18) = 18p - 36, which is equivalent to 18p - 36.D) 18(p - 2) = 18p - 36, which is equivalent to 18p - 36.

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Factor $18p-36$ 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

Write a quadratic function from its x-intercepts and another point

Full solution

Q. Factor

18p-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)

Factor GCF: We need to factor out the greatest common factor (GCF) from the expression $18p - 36$ . The GCF of $18p$ and $36$ is $18$ . Factor out the GCF from the expression. $18p - 36 = 18(p - 2)$
Check Answer Choices A-D: Now let's check each answer choice to see if it is equivalent to $18(p - 2)$ . A) $3(9p - 12) = 27p - 36$ , which is not equivalent to $18p - 36$ .
Verify Equivalent Expressions: B) $9(2p - 4p) = 9(-2p)$ , which simplifies to $-18p$ , and this is not equivalent to $18p - 36$ .
Verify Equivalent Expressions: B) $9(2p - 4p) = 9(-2p)$ , which simplifies to $-18p$ , and this is not equivalent to $18p - 36$ .C) $2(9p - 18) = 18p - 36$ , which is equivalent to $18p - 36$ .
Verify Equivalent Expressions: B) $9(2p - 4p) = 9(-2p)$ , which simplifies to $-18p$ , and this is not equivalent to $18p - 36$ .C) $2(9p - 18) = 18p - 36$ , which is equivalent to $18p - 36$ .D) $18(p - 2) = 18p - 36$ , which is equivalent to $18p - 36$ .