What is (x(x+3)^4)/(sqrt(x^5+2)) ?

The solution to (x(x+3)^4)/(sqrt(x^5+2)) is (x(x+3)^4sqrt(x^5+2))/(x^5+2)

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simplify (x(x+3)^4)/(sqrt(x^5+2))

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{x ^{5} + 2}{x ^{5} + 2}

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

x^{5} + 2 x^{5} + 2 = x^{5} + 2

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

3 \cdot 0

\frac{3}{x - 1} - \frac{3}{x + 3}

12 x^{2} - 4

(x^{2} + 7)^{2}

\frac{1}{3} \div \frac{2}{5}

What is (x(x+3)^4)/(sqrt(x^5+2)) ?
The solution to (x(x+3)^4)/(sqrt(x^5+2)) is (x(x+3)^4sqrt(x^5+2))/(x^5+2)