Question

Find the expression equivalent to 3x*2 y+6y+9

Answer 1

To simplify the expression \(3x \cdot 2y + 6y + 9\), we can follow these steps:

1. First, simplify the multiplication in the first term:
\[
3x \cdot 2y = 6xy
\]

2. Now, substitute this back into the expression:
\[
6xy + 6y + 9
\]

3. Next, observe that \(6y\) and \(9\) can be factored out from the remaining terms:
\[
6xy + 6y + 9 = 6y(x + 1) + 9
\]

Now the expression is:
\[
6y(x + 1) + 9
\]

Therefore, the expression equivalent to \(3x \cdot 2y + 6y + 9\) is:
\[
6y(x + 1) + 9
\]