Factor 24 k+36 q-12 to identify the equivalent expressions. Choose 2 answers: A 12(2k+3q-1) B 3(8k+12 q-4) c 6(3k+6q-12) D 12(2k+3q)

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 24k + 36q - 12. The GCF of 24, 36, and 12 is 12.Factor Out GCF: Factor out the GCF from each term in the expression. 24k + 36q - 12 = 12(2k) + 12(3q) - 12(1)Simplify Factored Expression: Simplify the factored expression by combining the terms inside the parentheses. 24k + 36q - 12 = 12(2k + 3q - 1)Check Answer Choices: Check the answer choices to see which ones are equivalent to the simplified expression. The correct factored expression is 12(2k + 3q - 1), so option A is correct.Check Other Choices: Check the other answer choices for equivalence by simplifying them if necessary. Option B: 3(8k + 12q - 4) = 3(8k) + 3(12q) - 3(4) = 24k + 36q - 12, which is the original expression, so option B is also correct. Option C: 6(3k + 6q - 12) simplifies to 6(3k) + 6(6q) - 6(12) = 18k + 36q - 72, which is not equivalent to the original expression. Option D: 12(2k + 3q) simplifies to 12(2k) + 12(3q) = 24k + 36q, which lacks the -12 term from the original expression, so it is not equivalent.

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Factor
24 k+36 q-12 to identify the equivalent expressions.
Choose 2 answers:
A
12(2k+3q-1)
B
3(8k+12 q-4)
c
6(3k+6q-12)
D
12(2k+3q)

Factor $24 k+36 q-12$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ A $12(2 k+3 q-1)$ $\newline$ B $3(8 k+12 q-4)$ $\newline$ c $6(3 k+6 q-12)$ $\newline$ D $12(2 k+3 q)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Factor

24 k+36 q-12

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

12(2 k+3 q-1)

\newline

3(8 k+12 q-4)

\newline

6(3 k+6 q-12)

\newline

12(2 k+3 q)

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $24k + 36q - 12$ . The GCF of $24$ , $36$ , and $12$ is $12$ .
Factor Out GCF: Factor out the GCF from each term in the expression. $\newline$ $24k + 36q - 12 = 12(2k) + 12(3q) - 12(1)$
Simplify Factored Expression: Simplify the factored expression by combining the terms inside the parentheses. $24k + 36q - 12 = 12(2k + 3q - 1)$
Check Answer Choices: Check the answer choices to see which ones are equivalent to the simplified expression. $\newline$ The correct factored expression is $12(2k + 3q - 1)$ , so option $A$ is correct.
Check Other Choices: Check the other answer choices for equivalence by simplifying them if necessary. $\newline$ Option B: $3(8k + 12q - 4) = 3(8k) + 3(12q) - 3(4) = 24k + 36q - 12$ , which is the original expression, so option B is also correct. $\newline$ Option C: $6(3k + 6q - 12)$ simplifies to $6(3k) + 6(6q) - 6(12) = 18k + 36q - 72$ , which is not equivalent to the original expression. $\newline$ Option D: $12(2k + 3q)$ simplifies to $12(2k) + 12(3q) = 24k + 36q$ , which lacks the $-12$ term from the original expression, so it is not equivalent.