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Apply the distributive property to factor out the greatest common factor.

90+27=

Apply the distributive property to factor out the greatest common factor. $\newline$ $90+27=$

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Subtract integers

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Q. Apply the distributive property to factor out the greatest common factor.

\newline

90+27=

Identify GCF of $90$ and $27$ : Identify the greatest common factor (GCF) of $90$ and $27$ . To do this, list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $90$ : $1$ , $2$ , $3$ , $5$ , $6$ , $27$ $0$ , $27$ $1$ , $27$ $2$ , $27$ $3$ , $27$ $4$ , $27$ $5$ , $90$ $\newline$ Factors of $27$ : $1$ , $3$ , $27$ $0$ , $27$ $\newline$ The GCF of $90$ and $27$ is $27$ $0$ .
Apply distributive property: Apply the distributive property to factor out the GCF from the expression $90 + 27$ . $\newline$ This means we will express $90$ and $27$ as multiples of $9$ and then factor $9$ out. $\newline$ $90$ can be expressed as $9 \times 10$ and $27$ can be expressed as $9 \times 3$ .
Write expression with factored terms: Write the original expression with the factored terms. $90 + 27$ can be rewritten as $(9 \times 10) + (9 \times 3)$ .
Factor out GCF from expression: Factor out the GCF, which is $9$ , from the expression. $\newline$ This gives us $9 \times (10 + 3)$ .
Simplify expression inside parentheses: Simplify the expression inside the parentheses. $10 + 3 = 13$ .
Write final factored expression: Write the final factored expression. $\newline$ The expression $9 \times (10 + 3)$ simplifies to $9 \times 13$ .

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