Factor
10b\left(10cb^{2}n^{2}+6nb^{6}-15ab^{2}c^{3}-20ac^{2}\right)
Evaluate
60nb^{7}-150a\left(bc\right)^{3}+100bc\left(bn\right)^{2}-200abc^{2}
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10\left(10n^{2}b^{3}c-15ab^{3}c^{3}+6nb^{7}-20abc^{2}\right)
Factor out 10.
b\left(10n^{2}b^{2}c-15ab^{2}c^{3}+6nb^{6}-20ac^{2}\right)
Consider 10n^{2}b^{3}c-15ab^{3}c^{3}+6nb^{7}-20abc^{2}. Factor out b.
10b\left(10n^{2}b^{2}c-15ab^{2}c^{3}+6nb^{6}-20ac^{2}\right)
Rewrite the complete factored expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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