Question
Find the expression equivalent to 3x(y+7x)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 3x(y + 7x) \), you can use the distributive property. This involves multiplying \( 3x \) by each term inside the parentheses.
1. Distribute \( 3x \) to \( y \):
\[
3x \cdot y = 3xy
\]
2. Distribute \( 3x \) to \( 7x \):
\[
3x \cdot 7x = 21x^2
\]
Now, combine both results:
\[
3x(y + 7x) = 3xy + 21x^2
\]
Thus, the expression equivalent to \( 3x(y + 7x) \) is:
\[
3xy + 21x^2
\]
1. Distribute \( 3x \) to \( y \):
\[
3x \cdot y = 3xy
\]
2. Distribute \( 3x \) to \( 7x \):
\[
3x \cdot 7x = 21x^2
\]
Now, combine both results:
\[
3x(y + 7x) = 3xy + 21x^2
\]
Thus, the expression equivalent to \( 3x(y + 7x) \) is:
\[
3xy + 21x^2
\]