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Simplify the expression: 2x(-3x + 4) - x(6 - x)

Mathematics

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Answer

−5x2+2x-5x^2 + 2x

Step-by-step solution

2 steps

  1. Distribute 2x2x into the first set of parentheses and −x-x into the second set of parentheses.

    2x(−3x+4)−x(6−x)=(2x⋅−3x)+(2x⋅4)−(x⋅6)−(x⋅−x)2x(-3x + 4) - x(6 - x) = (2x \cdot -3x) + (2x \cdot 4) - (x \cdot 6) - (x \cdot -x) =−6x2+8x−6x+x2= -6x^2 + 8x - 6x + x^2

  2. Combine like terms.

    (−6x2+x2)+(8x−6x)(-6x^2 + x^2) + (8x - 6x) =−5x2+2x= -5x^2 + 2x

    The simplified expression is −5x2+2x-5x^2 + 2x.

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