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Find the product. Simplify your answer. \newline3x(−4x2+6)3x(-4x^2 + 6)

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Full solution

Q. Find the product. Simplify your answer. \newline3x(−4x2+6)3x(-4x^2 + 6)
  1. Simplify 3x(−4x2)3x(-4x^2): Now, let's simplify 3x(−4x2)3x(-4x^2).\newline3x(−4x2)=−12x33x(-4x^2) = -12x^3\newlineWe multiply the coefficients (33 and −4-4) and add the exponents of xx (11 and 22) to get the new term.
  2. Simplify 3x(6)3x(6): Next, we simplify 3x(6)3x(6).\newline3x(6)=18x3x(6) = 18x\newlineWe multiply the coefficient 33 by 66 and keep the xx term.
  3. Combine simplified terms: Combining the two simplified terms, we get the final simplified expression. 3x(−4x2+6)=−12x3+18x3x(-4x^2 + 6) = -12x^3 + 18x

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