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Expand.
Your answer should be a polynomial in standard form.

(6x+1)(1-3x)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(6x+1)(13x)=(6x+1)(1-3x)=

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Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(6x+1)(13x)=(6x+1)(1-3x)=
  1. Apply distributive property: Apply the distributive property to expand the expression (6x+1)(13x)(6x+1)(1-3x).\newlineDistribute each term in the first polynomial 6x+16x+1 with each term in the second polynomial 13x1-3x.\newline(6x+1)(13x)=6x(1)+6x(3x)+1(1)+1(3x)(6x+1)(1-3x) = 6x(1) + 6x(-3x) + 1(1) + 1(-3x)
  2. Multiply terms: Multiply the terms.\newlineMultiply 6x6x by 11, 6x6x by 3x-3x, 11 by 11, and 11 by 3x-3x.\newline6x(1)=6x6x(1) = 6x\newline6x(3x)=18x26x(-3x) = -18x^2\newline1100\newline1111
  3. Combine results: Combine the results from Step 22.\newlineCombine the terms to get the expanded form of the polynomial.\newline(6x+1)(13x)=6x18x2+13x(6x+1)(1-3x) = 6x - 18x^2 + 1 - 3x
  4. Combine like terms: Combine like terms.\newlineCombine the terms with xx to simplify the expression further.\newline(6x+1)(13x)=18x2+6x3x+1(6x+1)(1-3x) = -18x^2 + 6x - 3x + 1\newline(6x+1)(13x)=18x2+3x+1(6x+1)(1-3x) = -18x^2 + 3x + 1
  5. Write in standard form: Write the polynomial in standard form.\newlineThe standard form of a polynomial is written with the highest degree term first, followed by the terms in descending order of degree.\newline(6x+1)(13x)=18x2+3x+1(6x+1)(1-3x) = -18x^2 + 3x + 1

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