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Perform the operation. (-5x^(2)+4)-(-10x^(2)+6) Answer:

Perform the operation.\newline(−5x2+4)−(−10x2+6) \left(-5 x^{2}+4\right)-\left(-10 x^{2}+6\right) \newlineAnswer:

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Full solution

Q. Perform the operation.\newline(−5x2+4)−(−10x2+6) \left(-5 x^{2}+4\right)-\left(-10 x^{2}+6\right) \newlineAnswer:
  1. Write Given Polynomials: Write down the given polynomials and prepare to subtract the second polynomial from the first.\newline(−5x2+4)−(−10x2+6)(-5x^{2}+4)-(-10x^{2}+6)
  2. Distribute Negative Sign: Distribute the negative sign to the terms in the second polynomial. (−5x2+4)−1∗(−10x2)+1∗6(-5x^{2}+4)-1*(-10x^{2})+1*6
  3. Simplify Expression: Simplify the expression by removing the parentheses and combining like terms. (−5x2+4)+10x2−6(-5x^{2}+4)+10x^{2}-6
  4. Combine Terms: Combine the x2x^2 terms and the constant terms.\newline(−5x2+10x2)+(4−6)(-5x^{2} + 10x^{2}) + (4 - 6)
  5. Perform Addition and Subtraction: Perform the addition and subtraction to find the sum. 5x2−25x^{2} - 2

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