Let's consider the given expression.
7bx+7by
We are asked to rewrite the expression using the Distributive Property. To do so, let's start by recalling this property. According to thee Distributive Property, to multiply a sum or a difference by a number, we can multiply each term inside the parentheses by the number outside the parentheses.
1{{\color{#0000FF}{p}}( {\color{#009600}{q}}+{\color{#FD9000}{r}}) = {\color{#0000FF}{p}}{\color{#009600}{q}} + {\color{#0000FF}{p}}{\color{#FD9000}{r}} \
\[0.3em] {\color{#0000FF}{p}}( {\color{#009600}{q}}-{\color{#FD9000}{r}}) = {\color{#0000FF}{p}}{\color{#009600}{q}} - {\color{#0000FF}{p}}{\color{#FD9000}{r}}}
Notice that the given expression is a sum of two terms with the common factor 7b. We can use the Distributive Property to write the expression as the product of 7b and the sum ( x+ y).
7b x + 7b y = 7b( x+ y)
We found that 7b(x+y) is one of the equivalent expressions for the given expression.
