Subtract -9x^(2)-x+9 from 8x^(2)-6x-8. Answer:

Write Polynomials: Write down the polynomials to be subtracted. We have the polynomials 8x^(2)-6x-8 (from which we are subtracting) and -9x^(2)-x+9 (which we are subtracting).Set Up Problem: Set up the subtraction problem. To subtract the second polynomial from the first, we change the signs of the second polynomial and then add it to the first polynomial. (8x^(2)-6x-8) - (-9x^(2)-x+9)Change Signs and Add: Change the signs of the second polynomial and add. (8x^(2)-6x-8) + (9x^(2)+x-9)Combine Like Terms: Combine like terms. (8x^(2) + 9x^(2)) + (-6x + x) + (-8 - 9)Perform Addition: Perform the addition. (8x^(2) + 9x^(2)) = 17x^(2) (-6x + x) = -5x (-8 - 9) = -17 So, the result is 17x^(2) - 5x - 17.

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Algebra 2

Add and subtract polynomials

Full solution

Q. Subtract

-9 x^{2}-x+9

from

8 x^{2}-6 x-8

\newline

Answer:

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ We have the polynomials $8x^{2}-6x-8$ (from which we are subtracting) and $-9x^{2}-x+9$ (which we are subtracting).
Set Up Problem: Set up the subtraction problem. $\newline$ To subtract the second polynomial from the first, we change the signs of the second polynomial and then add it to the first polynomial. $\newline$ $(8x^{2}-6x-8) - (-9x^{2}-x+9)$
Change Signs and Add: Change the signs of the second polynomial and add. $\newline$ $(8x^{2}-6x-8) + (9x^{2}+x-9)$
Combine Like Terms: Combine like terms. $\newline$ $(8x^{2} + 9x^{2}) + (-6x + x) + (-8 - 9)$
Perform Addition: Perform the addition. $\newline$ $(8x^{2} + 9x^{2}) = 17x^{2}$ $\newline$ $(-6x + x) = -5x$ $\newline$ $(-8 - 9) = -17$ $\newline$ So, the result is $17x^{2} - 5x - 17$ .