Evaluate
\frac{7b}{10}-10c
Factor
\frac{7b-100c}{10}
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\frac{4}{5}b-10c-\frac{b}{10}
Combine -5c and -5c to get -10c.
\frac{7}{10}b-10c
Combine \frac{4}{5}b and -\frac{b}{10} to get \frac{7}{10}b.
\frac{8b-50c-50c-b}{10}
Factor out \frac{1}{10}.
7b-100c
Consider 8b-50c-50c-b. Multiply and combine like terms.
\frac{7b-100c}{10}
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}