Factor 99-45 f+36 b to identify the equivalent expressions. Choose 2 answers: A 9(11-5f+4b) B 3(33-15+12) C 11(9-4f+3b) D 3(33-15 f+12 b)

Determine GCF: Determine the Greatest Common Factor (GCF) of the coefficients 99, -45, and 36. The GCF of 99, 45, and 36 is 9.Factor out GCF: Factor out the GCF from each term in the expression. The factored form of 99 - 45f + 36b is 9(11 - 5f + 4b).Check answer choices: Check the answer choices to see which ones match the factored expression. The correct factored expression is 9(11 - 5f + 4b), so we look for this expression among the choices.Compare with choices: Compare the factored expression with the answer choices. Choice A is 9(11 - 5f + 4b), which matches our factored expression. Choice B is 3(33 - 15 + 12), which is incorrect because it does not include the variable terms and the numbers inside the parentheses are not correct. Choice C is 11(9 - 4f + 3b), which is incorrect because the GCF was 9, not 11. Choice D is 3(33 - 15f + 12b), which is incorrect because the GCF was 9, not 3, and the numbers inside the parentheses are not correct when compared to the original expression.

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Factor $99-45f+36b$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A) $9(11-5f+4b)$ $\newline$ B) $3(33-15+12)$ $\newline$ C) $11(9-4f+3b)$ $\newline$ D) $3(33-15f+12b)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Factor

99-45f+36b

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

9(11-5f+4b)

\newline

3(33-15+12)

\newline

11(9-4f+3b)

\newline

3(33-15f+12b)

Determine GCF: Determine the Greatest Common Factor (GCF) of the coefficients $99$ , $-45$ , and $36$ . The GCF of $99$ , $45$ , and $36$ is $9$ .
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ The factored form of $99 - 45f + 36b$ is $9(11 - 5f + 4b)$ .
Check answer choices: Check the answer choices to see which ones match the factored expression. $\newline$ The correct factored expression is $9(11 - 5f + 4b)$ , so we look for this expression among the choices.
Compare with choices: Compare the factored expression with the answer choices. $\newline$ Choice A is $9(11 - 5f + 4b)$ , which matches our factored expression. $\newline$ Choice B is $3(33 - 15 + 12)$ , which is incorrect because it does not include the variable terms and the numbers inside the parentheses are not correct. $\newline$ Choice C is $11(9 - 4f + 3b)$ , which is incorrect because the GCF was $9$ , not $11$ . $\newline$ Choice D is $3(33 - 15f + 12b)$ , which is incorrect because the GCF was $9$ , not $3$ , and the numbers inside the parentheses are not correct when compared to the original expression.