What is 4x^{3a}y^2(3/8 x^ay^3+2/5 x^{-a}y^{-2}) ?

The solution to 4x^{3a}y^2(3/8 x^ay^3+2/5 x^{-a}y^{-2}) is 4x^{3a}y^2((3x^ay^3)/8+2/(5x^ay^2))

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simplify 4x^{3a}y^2(3/8 x^ay^3+2/5 x^{-a}y^{-2})

simplify

4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3} + \frac{2}{5} x^{- a} y^{- 2})

4 x^{3 a} y^{2} (\frac{3 x ^{a} y ^{3}}{8} + \frac{2}{5 x ^{a} y ^{2}})

Solution steps

4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3} + \frac{2}{5} x^{- a} y^{- 2})

Simplify

\frac{2}{5} x^{- a} y^{- 2} : \frac{2}{5} \cdot \frac{1}{x ^{a}} \cdot \frac{1}{y ^{2}}

= 4 x^{3 a} y^{2} (\frac{3}{8} x^{a} y^{3} + \frac{2}{5} \cdot \frac{1}{x ^{a}} \cdot \frac{1}{y ^{2}})

Simplify

\frac{3}{8} x^{a} y^{3} + \frac{2}{5} \cdot \frac{1}{x ^{a}} \cdot \frac{1}{y ^{2}} : \frac{3 x ^{a} y ^{3}}{8} + \frac{2}{5 x ^{a} y ^{2}}

= 4 x^{3 a} y^{2} (\frac{3 x ^{a} y ^{3}}{8} + \frac{2}{5 x ^{a} y ^{2}})

\frac{3}{x ^{2} - 9} + \frac{5}{x + 3}

- 2 x - 3 + x - 5 - 4 x

4 (- 2 x) (1 - x^{2})^{3}

\frac{1}{1000}

- 6 360 k^{3}

What is 4x^{3a}y^2(3/8 x^ay^3+2/5 x^{-a}y^{-2}) ?
The solution to 4x^{3a}y^2(3/8 x^ay^3+2/5 x^{-a}y^{-2}) is 4x^{3a}y^2((3x^ay^3)/8+2/(5x^ay^2))