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Subtract.(7x23x+10)(4x2+6x4)(7x^2-3x+10)-(-4x^2+6x-4)

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Q. Subtract.(7x23x+10)(4x2+6x4)(7x^2-3x+10)-(-4x^2+6x-4)
  1. Write Problem: Write down the problem.\newlineSubtract the second polynomial from the first polynomial.\newline(7x23x+10)(4x2+6x4)(7x^2 - 3x + 10) - (-4x^2 + 6x - 4)
  2. Distribute Negative Sign: Distribute the negative sign to the second polynomial.\newlineThis means changing the sign of each term in the second polynomial.\newline(7x23x+10)(4x2)(6x)+(4)(7x^2 - 3x + 10) - (-4x^2) - (6x) + (4)
  3. Combine Like Terms: Combine like terms.\newlineAdd the corresponding coefficients of like terms.\newline(7x2+4x2)+(3x6x)+(10+4)(7x^2 + 4x^2) + (-3x - 6x) + (10 + 4)
  4. Perform Addition/Subtraction: Perform the addition and subtraction.\newlineCalculate the sum of the coefficients for each term.\newline7x2+4x2=11x27x^2 + 4x^2 = 11x^2\newline3x6x=9x-3x - 6x = -9x\newline10+4=1410 + 4 = 14
  5. Write Final Expression: Write the final simplified expression.\newlineCombine the results from the previous step.\newline11x29x+1411x^2 - 9x + 14

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