Question

Subtract 9, x, squared, minus, 49x
2
−4 from 10, x, squared, plus, 9, x, minus, 810x
2
+9x−8.

Answer 1

To subtract the expression \( 9x^2 - 49x - 4 \) from \( 10x^2 + 9x - 8 \), we can set up the operation as follows:

\[
(10x^2 + 9x - 8) - (9x^2 - 49x - 4)
\]

Distributing the negative sign in front of the second expression:

\[
10x^2 + 9x - 8 - 9x^2 + 49x + 4
\]

Now we can combine like terms:

1. Combine the \( x^2 \) terms:
\[
10x^2 - 9x^2 = 1x^2 \quad \text{or} \quad x^2
\]

2. Combine the \( x \) terms:
\[
9x + 49x = 58x
\]

3. Combine the constant terms:
\[
-8 + 4 = -4
\]

Putting it all together, the result is:

\[
x^2 + 58x - 4
\]

So the final result of the subtraction is:

\[
\boxed{x^2 + 58x - 4}
\]