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Expand. Your answer should be a polynomial in standard form. (-1+2p)(3-4p)= ◻

Expand.\newlineYour answer should be a polynomial in standard form.\newline(−1+2p)(3−4p)=(-1+2 p)(3-4 p)=\newline□ \square

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Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(−1+2p)(3−4p)=(-1+2 p)(3-4 p)=\newline□ \square
  1. Reasoning: Distributive Property: Reasoning: Use the distributive property (FOIL method) to expand the expression.\newlineCalculation: (−1+2p)(3−4p)(-1 + 2p)(3 - 4p)
  2. Calculation: First Terms: Reasoning: Multiply the first terms.\newlineCalculation: −1⋅3=−3-1 \cdot 3 = -3
  3. Calculation: Outer Terms: Reasoning: Multiply the outer terms.\newlineCalculation: −1⋅−4p=4p-1 \cdot -4p = 4p
  4. Calculation: Inner Terms: Reasoning: Multiply the inner terms.\newlineCalculation: 2p⋅3=6p2p \cdot 3 = 6p
  5. Calculation: Last Terms: Reasoning: Multiply the last terms.\newlineCalculation: 2p⋅−4p=−8p22p \cdot -4p = -8p^2
  6. Reasoning: Combine Terms: Reasoning: Combine all the terms.\newlineCalculation: −3+4p+6p−8p2-3 + 4p + 6p - 8p^2
  7. Calculation: Like Terms: Reasoning: Combine like terms.\newlineCalculation: −3+10p−8p2-3 + 10p - 8p^2

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