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15 Checkpoint: Polynomial operations 2B7

Subtract. Simplify your answer.

(r^(3)-9r^(2)+3r)-(8r^(3)-8r^(2)+3r-7)

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11. 1515 Checkpoint: Polynomial operations 22B77\newlineSubtract. Simplify your answer.\newline(r39r2+3r)(8r38r2+3r7) \left(r^{3}-9 r^{2}+3 r\right)-\left(8 r^{3}-8 r^{2}+3 r-7\right) \newline \square \newlineSubmit

Full solution

Q. 11. 1515 Checkpoint: Polynomial operations 22B77\newlineSubtract. Simplify your answer.\newline(r39r2+3r)(8r38r2+3r7) \left(r^{3}-9 r^{2}+3 r\right)-\left(8 r^{3}-8 r^{2}+3 r-7\right) \newline \square \newlineSubmit
  1. Write Polynomials to Subtract: First, let's write down the polynomials we need to subtract: r^\(3 - 99r^22 + 33r) - (88r^33 - 88r^22 + 33r - 77)\
  2. Distribute Negative Sign: Now, distribute the negative sign to the second polynomial: r^\(3 - 99r^22 + 33r) - 88r^33 + 88r^22 - 33r + 77\
  3. Combine Like Terms: Next, combine like terms by subtracting the coefficients of the same powers of rr:r38r3=7r3r^3 - 8r^3 = -7r^39r2+8r2=r2-9r^2 + 8r^2 = -r^23r3r=0r3r - 3r = 0rAnd don't forget the constant term at the end: +7+7
  4. Write Simplified Polynomial: Now, write down the simplified polynomial: 7r3r2+7-7r^3 - r^2 + 7

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