x+ 8 – x+2 + x-2 divided by
x^2-9 x+3 x-3
Show work:
x + 8 – x + 2 + x - 2 = x + 8
x+ 8 – x+2 + x-2 divided by
x^2 -9x +3x -3 = x^2 -6x -3
The ratio
(x+8)/(x^2 -6x -3)
cannot be simplified further.
As written, it makes little sense. Looks like an attempt at formatted fractions. If you look at it as
(x+8)/(x^2-9) - (x+2)/(x+3) + (x-2)/(x-3)
you have
[(x+8) - (x+2)(x-3) + (x-2)(x+3)]/(x^2-9)
(x+8 - (x^2-x-6) + (x^2+x-6))/(x^2-9)
(x+8+2x)/(x^2-9)
(3x+8)/(x^2-9)
To simplify the given expression [(x + 8) - (x + 2) + (x - 2)] / [x^2 - 9 + x + 3 + x - 3], we can follow these steps:
Step 1: Simplify the numerator
(x + 8) - (x + 2) + (x - 2)
Now, remove the parentheses and combine like terms within the numerator:
x + 8 - x - 2 + x - 2
Combine like terms:
(x - x + x) + (8 - 2 - 2)
Simplify further:
2x + 4
Step 2: Simplify the denominator
x^2 - 9 + x + 3 + x - 3
Combine like terms within the denominator:
x^2 + (x + x) + (-9 + 3 - 3)
Simplify further:
x^2 + 2x - 9
Now, the simplified expression is (2x + 4) / (x^2 + 2x - 9).