How can 7 x 11 x 13 + 13 be written as 13 x (7 x 11 + 1)

Identify common factor: We are given the expression 7 x 11 x 13 + 13 and we want to factor out the common factor of 13. First, we identify the common factor in both terms of the expression. The common factor is 13.Factor out common factor: We factor out the common factor of 13 from both terms. This gives us 13 x (7 x 11) + 13 x 1.Combine terms: We combine the terms inside the parentheses. This gives us 13 x (7 x 11 + 1).Check distribution: We check to make sure that when we distribute the 13 back into the parentheses, we get the original expression. 13 x (7 x 11 + 1) = 13 x 7 x 11 + 13 x 1 = 7 x 11 x 13 + 13.

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How can $7 \times 11 \times 13 + 13$ be written as $13 \times (7 \times 11 + 1)$

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Algebra 1

Multiplication with rational exponents

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Q. How can

7 \times 11 \times 13 + 13

be written as

13 \times (7 \times 11 + 1)

Identify common factor: We are given the expression $7 \times 11 \times 13 + 13$ and we want to factor out the common factor of $13$ . $\newline$ First, we identify the common factor in both terms of the expression. $\newline$ The common factor is $13$ .
Factor out common factor: We factor out the common factor of $13$ from both terms. $\newline$ This gives us $13 \times (7 \times 11) + 13 \times 1$ .
Combine terms: We combine the terms inside the parentheses. $\newline$ This gives us $13 \times (7 \times 11 + 1)$ .
Check distribution: We check to make sure that when we distribute the $13$ back into the parentheses, we get the original expression. $13 \times (7 \times 11 + 1) = 13 \times 7 \times 11 + 13 \times 1 = 7 \times 11 \times 13 + 13.$