What is expand 1/(2sqrt(5x+1))*5*1/3 ?

The solution to expand 1/(2sqrt(5x+1))*5*1/3 is (5sqrt(5x+1))/(30x+6)

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expand 1/(2sqrt(5x+1))51/3

expand

\frac{1}{2 5 x + 1} \cdot 5 \cdot \frac{1}{3}

\frac{5 5 x + 1}{30 x + 6}

Solution steps

\frac{1}{2 5 x + 1} \cdot 5 \cdot \frac{1}{3}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 5}{2 5 x + 1 \cdot 3}

Refine

= \frac{5}{6 5 x + 1}

Rationalize

\frac{5}{6 5 x + 1} : \frac{5 5 x + 1}{30 x + 6}

= \frac{5 5 x + 1}{30 x + 6}

x^{2} a + (1 - x)^{2} 4 a d x

\frac{2 x ^{2} - 7 x + 3}{( x + 1 ) ( x - 1 )}

(x - 3)^{2} + (y - 2)^{2}

(3 e^{3 t} - e^{- t}) \times (9 e^{6 t} + e^{- 2 t})

What is expand 1/(2sqrt(5x+1))*5*1/3 ?
The solution to expand 1/(2sqrt(5x+1))*5*1/3 is (5sqrt(5x+1))/(30x+6)