What is (x/5+3/80)(2x+1)^{3/2} ?

The solution to (x/5+3/80)(2x+1)^{3/2} is ((16x+3)(2x+1)^{3/2})/(80)

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simplify (x/5+3/80)(2x+1)^{3/2}

simplify

(\frac{x}{5} + \frac{3}{80}) (2 x + 1)^{\frac{3}{2}}

\frac{( 16 x + 3 ) ( 2 x + 1 ) ^{\frac{3}{2}}}{80}

Solution steps

(\frac{x}{5} + \frac{3}{80}) (2 x + 1)^{\frac{3}{2}}

Simplify

\frac{x}{5} + \frac{3}{80} : \frac{16 x + 3}{80}

= \frac{16 x + 3}{80} (2 x + 1)^{\frac{3}{2}}

Apply the fraction rule:

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

= \frac{( 16 x + 3 ) ( 2 x + 1 ) ^{\frac{3}{2}}}{80}

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\frac{( 8 s + 9 e ^{- 9 s} + 5 )}{( ( s + 10 ) ( s + 2 ) )}

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What is (x/5+3/80)(2x+1)^{3/2} ?
The solution to (x/5+3/80)(2x+1)^{3/2} is ((16x+3)(2x+1)^{3/2})/(80)