Which expression is equivalent to

(7x^2+13x-19)-(4x+7-16x^2)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression \((7x^2 + 13x - 19) - (4x + 7 - 16x^2)\), we first distribute the negative sign across the second set of parentheses:

\[
(7x^2 + 13x - 19) - 4x - 7 + 16x^2
\]

Combining like terms, we first combine the \(x^2\) terms:

1. \(7x^2 + 16x^2 = 23x^2\)

Next, we combine the \(x\) terms:

2. \(13x - 4x = 9x\)

Finally, we combine the constant terms:

3. \(-19 - 7 = -26\)

Putting it all together, we have:

\[
23x^2 + 9x - 26
\]

Thus, the expression \((7x^2 + 13x - 19) - (4x + 7 - 16x^2)\) simplifies to:

\[
\boxed{23x^2 + 9x - 26}
\]