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Simplify the expression: -6p + (-8x + 4p - 5y)(-2)

Mathematics

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Answer

16x - 14p + 10y\text{16x - 14p + 10y}

Step-by-step solution

4 steps

  1. Distribute the (−2)(-2) to each term inside the parentheses.

    (−8x+4p−5y)(−2)=(−8x)(−2)+(4p)(−2)+(−5y)(−2)(-8x + 4p - 5y)(-2) = (-8x)(-2) + (4p)(-2) + (-5y)(-2) =16x−8p+10y= 16x - 8p + 10y

  2. Substitute this back into the original expression.

    −6p+(16x−8p+10y)-6p + (16x - 8p + 10y)

  3. Remove the parentheses and combine like terms.

    −6p+16x−8p+10y-6p + 16x - 8p + 10y

    Combine the 'p' terms:

    −6p−8p=−14p-6p - 8p = -14p

  4. Write the reduced form of the expression by arranging terms, typically in alphabetical order.

    16x−14p+10y16x - 14p + 10y
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