Use the Distributive Property to simplify $3 \left( 7 x + x y + y ^ { 2 } \right)$ .
A) $21 x + 7 x y + 7 y ^ { 2 }$
B) $21 x + 3 x y + y ^ { 2 }$
C) $21 x + x y + y ^ { 2 }$
D) $21 x + 3 x 3 y + 3 y ^ { 2 }$
E) $21 x + 3 x y + 3 y ^ { 2 }$

Question

Quizplus · Accepted Answer

Using the distributive property, we can simplify the expression as follows:

\begin{align*}
3 \left( 7 x + x y + y ^ { 2 } ight) &= 3 \cdot 7 x + 3 \cdot x y + 3 \cdot y ^ { 2 } \
&= 21 x + 3 x y + 3 y ^ { 2 }
\end{align*}

Therefore, the correct answer is E.

Use the Distributive Property to Simplify 3(7x+xy+y2)3 \left( 7 x + x y + y ^ { 2 } \right)3(7x+xy+y2)

Use the Distributive Property to Simplify $3 \left( 7 x + x y + y ^ { 2 } \right)$