What is 3/8-3/(3x+4) ?

The solution to 3/8-3/(3x+4) is (9x-12)/(8(3x+4))

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simplify 3/8-3/(3x+4)

simplify

\frac{3}{8} - \frac{3}{3 x + 4}

\frac{9 x - 12}{8 ( 3 x + 4 )}

Solution steps

\frac{3}{8} - \frac{3}{3 x + 4}

Least Common Multiplier of

8, 3 x + 4 : 8 (3 x + 4)

Adjust Fractions based on the LCM

= \frac{3 ( 3 x + 4 )}{8 ( 3 x + 4 )} - \frac{24}{8 ( 3 x + 4 )}

Apply the fraction rule:

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

= \frac{3 ( 3 x + 4 ) - 24}{8 ( 3 x + 4 )}

Simplify

3 (3 x + 4) - 24 : 9 x - 12

= \frac{9 x - 12}{8 ( 3 x + 4 )}

225

\frac{9 - 3 i}{1 + i}

\frac{9}{10} - \frac{1}{5}

- (- 10 + 7 i) - 6 i

+ 4 a^{2} b^{2} + 2 a^{2} b - 10 a b^{2}