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

Subtract 9x2x+9 -9 x^{2}-x+9 from 8x26x8 8 x^{2}-6 x-8 .\newlineAnswer:

Full solution

Q. Subtract 9x2x+9 -9 x^{2}-x+9 from 8x26x8 8 x^{2}-6 x-8 .\newlineAnswer:
  1. Write Polynomials: Write down the polynomials to be subtracted.\newlineWe have the polynomials 8x26x88x^{2}-6x-8 (from which we are subtracting) and 9x2x+9-9x^{2}-x+9 (which we are subtracting).
  2. Set Up Problem: Set up the subtraction problem.\newlineTo subtract the second polynomial from the first, we change the signs of the second polynomial and then add it to the first polynomial.\newline(8x26x8)(9x2x+9)(8x^{2}-6x-8) - (-9x^{2}-x+9)
  3. Change Signs and Add: Change the signs of the second polynomial and add. \newline(8x26x8)+(9x2+x9)(8x^{2}-6x-8) + (9x^{2}+x-9)
  4. Combine Like Terms: Combine like terms.\newline(8x2+9x2)+(6x+x)+(89)(8x^{2} + 9x^{2}) + (-6x + x) + (-8 - 9)
  5. Perform Addition: Perform the addition.\newline(8x2+9x2)=17x2(8x^{2} + 9x^{2}) = 17x^{2}\newline(6x+x)=5x(-6x + x) = -5x\newline(89)=17(-8 - 9) = -17\newlineSo, the result is 17x25x1717x^{2} - 5x - 17.

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