Question

form the operation.
$(-8x + 10) - (3x^2 - x + 6)$

Explanation:

Step1: Distribute the negative sign

To subtract the polynomial \(3x^{2}-x + 6\) from \(-8x+10\), we distribute the negative sign to each term in \(3x^{2}-x + 6\). This gives us:
\(-8x + 10-3x^{2}+x - 6\)

Step2: Combine like terms

First, combine the \(x\)-terms: \(-8x+x=-7x\)
Then, combine the constant terms: \(10 - 6 = 4\)
The \(x^{2}\)-term \(-3x^{2}\) remains as it is since there are no other \(x^{2}\)-terms to combine with.
Putting it all together, we get: \(-3x^{2}-7x + 4\)

Answer:

\(-3x^{2}-7x + 4\)