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(-x-8)(x-8)+x(x-16) При X=19/8

2 min read Jun 16, 2024
(-x-8)(x-8)+x(x-16) При X=19/8

Solving the Expression (-x-8)(x-8)+x(x-16) when x=19/8

This article will guide you through the steps of solving the expression (-x-8)(x-8)+x(x-16) when x = 19/8.

Step 1: Substitute the value of x

First, we need to substitute the value of x into the expression. This gives us:

(-(19/8)-8)( (19/8)-8) + (19/8)((19/8)-16)

Step 2: Simplify the expression

Now we need to simplify the expression by performing the necessary arithmetic operations:

  • Simplify the terms inside the parentheses:

    • -(19/8)-8 = -83/8
    • (19/8)-8 = -47/8
    • (19/8)-16 = -113/8

  • Substitute the simplified terms back into the expression:

    • (-83/8)(-47/8) + (19/8)(-113/8)

  • Perform the multiplications:

    • 3891/64 - 2147/64

  • Add the fractions:

    • (3891-2147)/64 = 1744/64

  • Simplify the fraction:

    • 1744/64 = 273/16

Solution

Therefore, the value of the expression (-x-8)(x-8)+x(x-16) when x = 19/8 is 273/16.

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