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Factor the expression below. (6x^(3)+12x^(2))(-x-2y)

Factor the expression below.\newline(6x3+12x2)(−x−2y) \left(6 x^{3}+12 x^{2}\right)(-x-2 y)

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Full solution

Q. Factor the expression below.\newline(6x3+12x2)(−x−2y) \left(6 x^{3}+12 x^{2}\right)(-x-2 y)
  1. Factor out common factor: First, factor out the common factor in the first parentheses. 6x2(x+2)6x^2(x + 2)
  2. Distribute second parentheses: Now, distribute the second parentheses across the factored first part. 6x2(x+2)(−x−2y)6x^2(x + 2)(-x - 2y)
  3. Multiply each term: Multiply each term in the first parentheses by each term in the second parentheses.\newline−6x3(x)−6x2(2y)−12x2(x)−12x2(2y)-6x^3(x) - 6x^2(2y) - 12x^2(x) - 12x^2(2y)

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