Factor
4ab\left(a-5b\right)^{2}
Evaluate
4ab\left(a-5b\right)^{2}
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4\left(a^{3}b-10a^{2}b^{2}+25ab^{3}\right)
Factor out 4.
ab\left(a^{2}-10ab+25b^{2}\right)
Consider a^{3}b-10a^{2}b^{2}+25ab^{3}. Factor out ab.
\left(a-5b\right)^{2}
Consider a^{2}-10ab+25b^{2}. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=a and q=5b.
4ab\left(a-5b\right)^{2}
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
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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