What is (x-1)/(4x+4)-(x+2)/(8x-8) ?

The solution to (x-1)/(4x+4)-(x+2)/(8x-8) is (x^2-7x)/(8(x+1)(x-1))

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simplify (x-1)/(4x+4)-(x+2)/(8x-8)

simplify

\frac{x - 1}{4 x + 4} - \frac{x + 2}{8 x - 8}

\frac{x ^{2} - 7 x}{8 ( x + 1 ) ( x - 1 )}

Solution steps

\frac{x - 1}{4 x + 4} - \frac{x + 2}{8 x - 8}

Least Common Multiplier of

4 x + 4, 8 x - 8 : 8 (x + 1) (x - 1)

Adjust Fractions based on the LCM

= \frac{2 ( x - 1 ) ^{2}}{8 ( x + 1 ) ( x - 1 )} - \frac{( x + 2 ) ( x + 1 )}{8 ( x + 1 ) ( x - 1 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{2 ( x - 1 ) ^{2} - ( x + 2 ) ( x + 1 )}{8 ( x + 1 ) ( x - 1 )}

Simplify

2 (x - 1)^{2} - (x + 2) (x + 1) : x^{2} - 7 x

= \frac{x ^{2} - 7 x}{8 ( x + 1 ) ( x - 1 )}

\frac{2 ^{- 5}}{( \frac{2 ^{3}}{2 ^{6}} )}

(\frac{3}{2})^{9}

1^{1 - \frac{5}{3}}

\frac{1}{x - 3} + \frac{1}{x + 3} - \frac{2}{x}

(10 a + 3 b) (3 a - 6 b)

What is (x-1)/(4x+4)-(x+2)/(8x-8) ?
The solution to (x-1)/(4x+4)-(x+2)/(8x-8) is (x^2-7x)/(8(x+1)(x-1))