Question

Use the distributive property to write an equivalent expression.
10, left parenthesis, 2, p, minus, 3, q, plus, 6, right parenthesis
10(2p−3q+6)

Answer 1

To use the distributive property, you need to multiply each term inside the parentheses by the factor outside the parentheses (which is 10 in this case).

Starting with the expression:
\[
10(2p - 3q + 6)
\]

Apply the distributive property:
\[
10 \cdot 2p + 10 \cdot (-3q) + 10 \cdot 6
\]

Now perform the multiplications:
\[
20p - 30q + 60
\]

So, the equivalent expression is:
\[
20p - 30q + 60
\]