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2 September, 11:06

Simplify: (-x^2 - 7x + 10) - (8x^2 + 8x + 8).

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Answers (1)
  1. 2 September, 12:13
    0
    - (9 x^2 + 15 x - 2)

    Step-by-step explanation:

    Simplify the following:

    - (8 x^2 + 8 x + 8) - x^2 - 7 x + 10

    Factor 8 out of 8 x^2 + 8 x + 8:

    -x^2 - 7 x + 10 - 8 (x^2 + x + 1)

    -8 (x^2 + x + 1) = - 8 x^2 - 8 x - 8:

    -8 x^2 - 8 x - 8 - x^2 - 7 x + 10

    Grouping like terms, - x^2 - 8 x^2 - 7 x - 8 x - 8 + 10 = (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8):

    (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8)

    -x^2 - 8 x^2 = - 9 x^2:

    -9 x^2 + (-7 x - 8 x) + (10 - 8)

    -7 x - 8 x = - 15 x:

    -9 x^2 + - 15 x + (10 - 8)

    10 - 8 = 2:

    -9 x^2 - 15 x + 2

    Factor - 1 out of - 9 x^2 - 15 x + 2:

    Answer: - (9 x^2 + 15 x - 2)
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