What is (x^2)/((5+2x^3)^2) ?

The solution to (x^2)/((5+2x^3)^2) is (x^2)/((2x^3+5)^2)

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simplify (x^2)/((5+2x^3)^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Apply exponent rule:

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

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

(x + 2)^{2} \cdot x^{2}

(72) (33)

(8 x^{2}) (4 x^{2})

7.243 \times 1 0^{- 5}

What is (x^2)/((5+2x^3)^2) ?
The solution to (x^2)/((5+2x^3)^2) is (x^2)/((2x^3+5)^2)