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Perform the operation. (-8x^(2)-6x+1)-(x^(2)-9x-1) Answer:

Perform the operation.\newline(−8x2−6x+1)−(x2−9x−1) \left(-8 x^{2}-6 x+1\right)-\left(x^{2}-9 x-1\right) \newlineAnswer:

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Full solution

Q. Perform the operation.\newline(−8x2−6x+1)−(x2−9x−1) \left(-8 x^{2}-6 x+1\right)-\left(x^{2}-9 x-1\right) \newlineAnswer:
  1. Write Polynomials to Subtract: Write down the polynomials to be subtracted.\newline(−8x2−6x+1)−(x2−9x−1)(-8x^{2} - 6x + 1) - (x^{2} - 9x - 1)
  2. Distribute Negative Sign: Distribute the negative sign to the second polynomial.\newline(−8x2−6x+1)−(x2−9x−1)(-8x^{2} - 6x + 1) - (x^{2} - 9x - 1)
  3. Combine Like Terms: Combine like terms.\newline(−8x2−x2)+(−6x+9x)+(1+1)(-8x^{2} - x^{2}) + (-6x + 9x) + (1 + 1)
  4. Perform Addition and Subtraction: Perform the addition and subtraction of the coefficients. (−8−1)x2+(−6+9)x+(1+1)(-8 - 1)x^{2} + (-6 + 9)x + (1 + 1)
  5. Simplify Expression: Simplify the expression. −9x2+3x+2-9x^{2} + 3x + 2

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