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)

Identify GCF: Identify the Greatest Common Factor (GCF) of the terms 99, -45f, and 36b. The GCF of 99, -45f, and 36b is 9 because 9 is the largest number that divides evenly into 99, 45, and 36.Factor out GCF: Factor out the GCF from each term. Divide each term by the GCF (9) and write the expression in factored form. 99 ÷ 9 = 11 -45f ÷ 9 = -5f 36b ÷ 9 = 4b So, the factored form is 9(11 - 5f + 4b).Divide and write: Check the answer choices to see which ones match the factored form. The correct factored form is 9(11 - 5f + 4b). Looking at the answer choices: A) 9(11 - 5f + 4b) matches the factored form. B) 3(33 - 15 + 12) is incorrect because it does not include the variables f and b. C) 11(9 - 4f + 3b) is incorrect because it does not have the correct coefficients when expanded. D) 3(33 - 15f + 12b) is incorrect because it does not have the correct GCF when expanded.

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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)

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

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Factor

99-45 f+36 b

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

9(11-5 f+4 b)

\newline

3(33-15+12)

\newline

11(9-4 f+3 b)

\newline

3(33-15 f+12 b)

Identify GCF: Identify the Greatest Common Factor (GCF) of the terms $99$ , $-45f$ , and $36b$ . The GCF of $99$ , $-45f$ , and $36b$ is $9$ because $9$ is the largest number that divides evenly into $99$ , $45$ , and $-45f$ $0$ .
Factor out GCF: Factor out the GCF from each term. $\newline$ Divide each term by the GCF ( $9$ ) and write the expression in factored form. $\newline$ $99 \div 9 = 11$ $\newline$ $-45f \div 9 = -5f$ $\newline$ $36b \div 9 = 4b$ $\newline$ So, the factored form is $9(11 - 5f + 4b)$ .
Divide and write: Check the answer choices to see which ones match the factored form. $\newline$ The correct factored form is $9(11 - 5f + 4b)$ . $\newline$ Looking at the answer choices: $\newline$ A) $9(11 - 5f + 4b)$ matches the factored form. $\newline$ B) $3(33 - 15 + 12)$ is incorrect because it does not include the variables $f$ and $b$ . $\newline$ C) $11(9 - 4f + 3b)$ is incorrect because it does not have the correct coefficients when expanded. $\newline$ D) $3(33 - 15f + 12b)$ is incorrect because it does not have the correct GCF when expanded.