(-x-6)(x-6)+x(x-12) При X=13/6

Jasonbradley

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Jun 16, 2024

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Solving the Expression (-x-6)(x-6)+x(x-12) when x = 13/6

Let's break down the process of solving this algebraic expression when x is given as 13/6:

1. Substitute the value of x:

First, we substitute x = 13/6 into the given expression:

(-(13/6) - 6)( (13/6) - 6) + (13/6) ( (13/6) - 12 )

2. Simplify the expression:

Next, we simplify the expression using order of operations (PEMDAS/BODMAS):

• Parentheses/Brackets:
  • -(13/6) - 6 = -25/6
  • (13/6) - 6 = -25/6
  • (13/6) - 12 = -59/6
• Multiplication:
  • (-25/6)(-25/6) = 625/36
  • (13/6)(-59/6) = -767/36

3. Combine the terms:

Now we have:

625/36 - 767/36 = -142/36

4. Simplify the result:

Finally, we simplify the result by reducing the fraction:

-142/36 = -71/18

Therefore, the value of the expression (-x-6)(x-6)+x(x-12) when x = 13/6 is -71/18.