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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)(34p)=(-1+2p)(3-4p)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(1+2p)(34p)=(-1+2p)(3-4p)=
  1. Apply distributive property: Apply the distributive property to expand the expression (1+2p)(34p)(-1+2p)(3-4p).\newlineDistribute each term in the first binomial (1+2p)(-1+2p) with each term in the second binomial (34p)(3-4p).\newline(1+2p)(34p)=(1)(3)+(1)(4p)+(2p)(3)+(2p)(4p)(-1+2p)(3-4p) = (-1)(3) + (-1)(-4p) + (2p)(3) + (2p)(-4p)
  2. Multiply terms: Multiply the terms.\newline(1)(3)=3(-1)(3) = -3\newline(1)(4p)=4p(-1)(-4p) = 4p\newline(2p)(3)=6p(2p)(3) = 6p\newline(2p)(4p)=8p2(2p)(-4p) = -8p^2\newlineSo, (1+2p)(34p)=3+4p+6p8p2(-1+2p)(3-4p) = -3 + 4p + 6p - 8p^2
  3. Combine like terms: Combine like terms.\newline4p+6p=10p4p + 6p = 10p\newlineSo, (1+2p)(34p)=3+10p8p2(-1+2p)(3-4p) = -3 + 10p - 8p^2
  4. Write in standard form: Write the polynomial in standard form, which means ordering the terms from highest degree to lowest degree.\newlineThe standard form of the polynomial is 8p2+10p3-8p^2 + 10p - 3.

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