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Perform the operation. (-10x^(2)-6x)-(-x^(2)-8x) Answer:

Perform the operation.\newline(−10x2−6x)−(−x2−8x) \left(-10 x^{2}-6 x\right)-\left(-x^{2}-8 x\right) \newlineAnswer:

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Q. Perform the operation.\newline(−10x2−6x)−(−x2−8x) \left(-10 x^{2}-6 x\right)-\left(-x^{2}-8 x\right) \newlineAnswer:
  1. Identify Polynomials and Operation: Identify the polynomials and the operation to be performed.\newlineWe have two polynomials, (−10x2−6x)(-10x^{2}-6x) and (−x2−8x)(-x^{2}-8x), and we need to subtract the second polynomial from the first.
  2. Distribute Negative Sign: Distribute the negative sign to the second polynomial.\newlineWhen subtracting polynomials, we distribute the negative sign to each term of the second polynomial. This changes the sign of each term in the second polynomial.\newline(−10x2−6x)−(−x2−8x)(-10x^{2}-6x) - (-x^{2}-8x) becomes (−10x2−6x)+(x2+8x)(-10x^{2}-6x) + (x^{2}+8x)
  3. Combine Like Terms: Combine like terms.\newlineNow we combine the like terms from both polynomials.\newline(−10x2+x2)+(−6x+8x)(-10x^{2} + x^{2}) + (-6x + 8x)
  4. Simplify Expression: Simplify the expression.\newlineWe add the coefficients of the like terms.\newline(−10+1)x2+(−6+8)x(-10 + 1)x^{2} + (-6 + 8)x\newline(−9x2+2x)(-9x^{2} + 2x)

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