Question

use a vertical format to subtract the polynomials.
\\(\

$$\begin{array}{r}\ 2x^2 - 4x + 9\\\ - (11x^2 + 8x - 9)\\\ \\hline\ \\end{array}$$

\\)
the difference is \\(\square\\). (simplify your answer.)

Explanation:

Step1: Distribute the negative sign

$2x^2 - 4x + 9 - 11x^2 - 8x + 9$

Step2: Combine like $x^2$ terms

$2x^2 - 11x^2 = -9x^2$

Step3: Combine like $x$ terms

$-4x - 8x = -12x$

Step4: Combine constant terms

$9 + 9 = 18$

Step5: Combine all simplified terms

$-9x^2 - 12x + 18$

Answer:

$-9x^2 - 12x + 18$