What is 3/(x+2)+4/(x-7) ?

The solution to 3/(x+2)+4/(x-7) is (7x-13)/((x+2)(x-7))

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simplify 3/(x+2)+4/(x-7)

simplify

\frac{3}{x + 2} + \frac{4}{x - 7}

\frac{7 x - 13}{( x + 2 ) ( x - 7 )}

Solution steps

\frac{3}{x + 2} + \frac{4}{x - 7}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 ( x - 7 )}{( x + 2 ) ( x - 7 )} + \frac{4 ( x + 2 )}{( x + 2 ) ( x - 7 )}

Apply the fraction rule:

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

= \frac{3 ( x - 7 ) + 4 ( x + 2 )}{( x + 2 ) ( x - 7 )}

Simplify

3 (x - 7) + 4 (x + 2) : 7 x - 13

= \frac{7 x - 13}{( x + 2 ) ( x - 7 )}

- 12 \times 3

lo g_{10} (3000)

16 \div \frac{4}{3}

\frac{1}{x ^{2}} \times x

3 (4 x - 7) + 15 - 14 x

What is 3/(x+2)+4/(x-7) ?
The solution to 3/(x+2)+4/(x-7) is (7x-13)/((x+2)(x-7))