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

The solution to 6/(x+7)-3/(x-2) is (3x-33)/((x+7)(x-2))

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

simplify

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

\frac{3 x - 33}{( x + 7 ) ( x - 2 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

6 (x - 2) - 3 (x + 7) : 3 x - 33

= \frac{3 x - 33}{( x + 7 ) ( x - 2 )}

4 a^{3} (h + 2) (h - 2)

(n + 1) (n + 1)

\frac{x ^{2} - 5 x + 6}{x ^{2} - 9}

(57)^{2}

e^{l n (5 x)}

What is 6/(x+7)-3/(x-2) ?
The solution to 6/(x+7)-3/(x-2) is (3x-33)/((x+7)(x-2))