Divide fractions $\frac{\frac{\frac{d}{dx}}{x^3+2}}{3}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$
$\frac{\frac{d}{dx}}{3\left(x^3+2\right)}$
2
Divide fractions $\frac{\frac{d}{dx}}{3\left(x^3+2\right)}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$
$\frac{d}{3\left(x^3+2\right)dx}$
Final answer to the problem
$\frac{d}{3\left(x^3+2\right)dx}$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.