Question

simplifies (9x^2 + 17x + 13) - (2x^2 + 12x + 11)? (1 point)
9x^2 + 17х + 13 - 2x^2 - 12х - 11
7x^2 + 5x +2
7x^2 + 29x + 24
12x^2 + 2

Answer 1

To simplify the expression \( (9x^2 + 17x + 13) - (2x^2 + 12x + 11) \), we start by distributing the negative sign to the second expression:

\[
9x^2 + 17x + 13 - 2x^2 - 12x - 11
\]

Now, we can combine like terms:

1. Combine the \( x^2 \) terms:
\[
9x^2 - 2x^2 = 7x^2
\]

2. Combine the \( x \) terms:
\[
17x - 12x = 5x
\]

3. Combine the constant terms:
\[
13 - 11 = 2
\]

Putting all these together, we have:

\[
7x^2 + 5x + 2
\]

So, the simplified expression is:

\[
\boxed{7x^2 + 5x + 2}
\]