Factor
\frac{\left(2x+ab\right)\left(4x^{2}-2abx+a^{2}b^{2}\right)}{8}
Evaluate
\frac{\left(ab\right)^{3}}{8}+x^{3}
Graph
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\frac{a^{3}b^{3}+8x^{3}}{8}
Factor out \frac{1}{8}.
\left(2x+ab\right)\left(4x^{2}-2abx+a^{2}b^{2}\right)
Consider a^{3}b^{3}+8x^{3}. Rewrite a^{3}b^{3}+8x^{3} as \left(2x\right)^{3}+\left(ab\right)^{3}. The sum of cubes can be factored using the rule: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).
\frac{\left(2x+ab\right)\left(4x^{2}-2abx+a^{2}b^{2}\right)}{8}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}