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Expand. Your answer should be a polynomial in standard form. (-2h+9)(9h-2)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(−2h+9)(9h−2)=(-2h+9)(9h-2)=

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Multiply two binomialsright chevron icon

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(−2h+9)(9h−2)=(-2h+9)(9h-2)=
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the first terms of each binomial.\newlineCalculation: (−2h)×(9h)=−18h2(-2h) \times (9h) = -18h^2
  2. Multiply Outer Terms: Multiply the outer terms of the binomials.\newlineCalculation: (−2h)×(−2)=4h(-2h) \times (-2) = 4h
  3. Multiply Inner Terms: Multiply the inner terms of the binomials.\newlineCalculation: 9×(9h)=81h9 \times (9h) = 81h
  4. Multiply Last Terms: Multiply the last terms of each binomial.\newlineCalculation: 9×(−2)=−189 \times (-2) = -18
  5. Combine Results: Combine the results from steps 11 to 44 to get the expanded polynomial.\newlineCalculation: −18h2+4h+81h−18-18h^2 + 4h + 81h - 18
  6. Combine Like Terms: Combine like terms in the polynomial.\newlineCalculation: −18h2+(4h+81h)−18=−18h2+85h−18-18h^2 + (4h + 81h) - 18 = -18h^2 + 85h - 18

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