What is ((3xy^2)/8-(sqrt(7)y)/2)^3 ?

The solution to ((3xy^2)/8-(sqrt(7)y)/2)^3 is ((3xy^2-4sqrt(7)y)^3)/(512)

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simplify ((3xy^2)/8-(sqrt(7)y)/2)^3

simplify

(\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

\frac{( 3 x y ^{2} - 4 7 y ) ^{3}}{512}

Solution steps

(\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

Simplify

\frac{3 x y ^{2}}{8} - \frac{7 y}{2} : \frac{3 x y ^{2} - 4 7 y}{8}

= (\frac{3 x y ^{2} - 4 7 y}{8})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 x y ^{2} - 4 7 y ) ^{3}}{8 ^{3}}

8^{3} = 512

= \frac{( 3 x y ^{2} - 4 7 y ) ^{3}}{512}

\frac{8 x ^{2} + 8 x + 2}{( 4 x ^{2} + 1 ) ^{2}}

(\frac{1}{2} x - \frac{1}{2}) (\frac{1}{2} x - \frac{2}{5})

\frac{s}{( s - 4 ) ( s - 5 ) ( s - 20 )}

\frac{( x + 1 ) ln ( 1 + x ) - x}{e ^{x} - x - 1}

x (x + 3) (x - 3)

What is ((3xy^2)/8-(sqrt(7)y)/2)^3 ?
The solution to ((3xy^2)/8-(sqrt(7)y)/2)^3 is ((3xy^2-4sqrt(7)y)^3)/(512)