What is 3/(x+7)-6/(x-2) ?

The solution to 3/(x+7)-6/(x-2) is (-3x-48)/((x+7)(x-2))

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simplify 3/(x+7)-6/(x-2)

simplify

\frac{3}{x + 7} - \frac{6}{x - 2}

\frac{- 3 x - 48}{( x + 7 ) ( x - 2 )}

Solution steps

\frac{3}{x + 7} - \frac{6}{x - 2}

Least Common Multiplier of

x + 7, x - 2 : (x + 7) (x - 2)

Adjust Fractions based on the LCM

= \frac{3 ( x - 2 )}{( x + 7 ) ( x - 2 )} - \frac{6 ( x + 7 )}{( x + 7 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{3 ( x - 2 ) - 6 ( x + 7 )}{( x + 7 ) ( x - 2 )}

Simplify

3 (x - 2) - 6 (x + 7) : - 3 x - 48

= \frac{- 3 x - 48}{( x + 7 ) ( x - 2 )}

(x + 2)^{2} - 2

6 \times 13

6 \times 17

x^{0}

\frac{7}{45} \div \frac{14}{15}

What is 3/(x+7)-6/(x-2) ?
The solution to 3/(x+7)-6/(x-2) is (-3x-48)/((x+7)(x-2))