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(-x-8)(x-8)+x(x+16) При X=-7/8

2 min read Jun 16, 2024
(-x-8)(x-8)+x(x+16) При X=-7/8

Evaluating the Expression (-x-8)(x-8)+x(x+16) when x = -7/8

This problem asks us to evaluate the expression (-x-8)(x-8)+x(x+16) when x = -7/8.

Let's break it down step-by-step:

  1. Substitute x with -7/8:

    (-(-7/8)-8)((-7/8)-8) + (-7/8)((-7/8)+16)

  2. Simplify the expressions inside the parentheses:

    (7/8 - 8)(-7/8 - 8) + (-7/8)(7/8 + 16)

    (-64/8 + 7/8)(-64/8 - 7/8) + (-7/8)(128/8 + 7/8)

    (-57/8)(-71/8) + (-7/8)(135/8)

  3. Perform the multiplications:

    (57 * 71) / (8 * 8) + (-7 * 135) / (8 * 8)

    4047/64 - 945/64

  4. Combine the terms:

    (4047 - 945)/64

    3102/64

  5. Simplify the fraction:

    1551/32

Therefore, the value of the expression (-x-8)(x-8)+x(x+16) when x = -7/8 is 1551/32.

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