What is 3/((2sqrt(3x-5)))+3/((2*(3x-5)^{3/2))} ?

The solution to 3/((2sqrt(3x-5)))+3/((2*(3x-5)^{3/2))} is (9x-12)/(2(3x-5)^{3/2)}

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simplify 3/((2sqrt(3x-5)))+3/((2*(3x-5)^{3/2))}

simplify

\frac{3}{( 2 3 x - 5 )} + \frac{3}{( 2 \cdot ( 3 x - 5 ) ^{\frac{3}{2}} )}

\frac{9 x - 12}{2 ( 3 x - 5 ) ^{\frac{3}{2}}}

Solution steps

\frac{3}{2 3 x - 5} + \frac{3}{2 ( 3 x - 5 ) ^{\frac{3}{2}}}

Least Common Multiplier of

2 3 x - 5, 2 (3 x - 5)^{\frac{3}{2}} : 2 (3 x - 5)^{\frac{3}{2}}

Adjust Fractions based on the LCM

= \frac{3 ( 3 x - 5 )}{2 ( 3 x - 5 ) ^{\frac{3}{2}}} + \frac{3}{2 ( 3 x - 5 ) ^{\frac{3}{2}}}

Apply the fraction rule:

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

= \frac{3 ( 3 x - 5 ) + 3}{2 ( 3 x - 5 ) ^{\frac{3}{2}}}

Simplify

3 (3 x - 5) + 3 : 9 x - 12

= \frac{9 x - 12}{2 ( 3 x - 5 ) ^{\frac{3}{2}}}

a \cdot - x \cdot 7

(x - 1)^{3} - (x + 1)^{3} + 6 (x + 1) (x - 1)

\frac{x}{( 1 - x ^{2} )}

x^{2} (x + y) + 2 x (x^{2} + y)

\frac{( 4 x ^{2} - 49 )}{( 2 x + 7 )} - \frac{( x ^{2} - 16 x + 64 )}{( 8 - x )} + \frac{( 9 x ^{2} - 6 x + 1 )}{( 1 - 3 x )}

What is 3/((2sqrt(3x-5)))+3/((2*(3x-5)^{3/2))} ?
The solution to 3/((2sqrt(3x-5)))+3/((2*(3x-5)^{3/2))} is (9x-12)/(2(3x-5)^{3/2)}