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(-x-9)(x-9)+x(x+18) При X=-2/9

less than a minute read Jun 16, 2024
(-x-9)(x-9)+x(x+18) При X=-2/9

Simplifying and Evaluating the Expression (-x-9)(x-9)+x(x+18) when x = -2/9

This problem involves simplifying an algebraic expression and then evaluating it at a specific value for x. Let's break it down step-by-step:

Step 1: Simplify the expression

First, we need to expand the given expression using the distributive property:

  • (-x - 9)(x - 9) + x(x + 18)

  • = -x(x - 9) - 9(x - 9) + x(x + 18)

  • = -x² + 9x - 9x + 81 + x² + 18x

  • = 18x + 81

Step 2: Substitute the value of x

Now we substitute x = -2/9 into the simplified expression:

  • 18x + 81

  • = 18(-2/9) + 81

  • = -4 + 81

Step 3: Calculate the final result

Finally, we perform the arithmetic operation:

  • -4 + 81 = 77

Therefore, the value of the expression (-x-9)(x-9)+x(x+18) when x = -2/9 is 77.

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