Evaluate
5x\left(x+1\right)
Factor
5x\left(x+1\right)
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x^{2}-2x+8x^{2}-\left(-7x\right)-4x^{2}
The opposite of -8x^{2} is 8x^{2}.
x^{2}-2x+8x^{2}+7x-4x^{2}
The opposite of -7x is 7x.
9x^{2}-2x+7x-4x^{2}
Combine x^{2} and 8x^{2} to get 9x^{2}.
9x^{2}+5x-4x^{2}
Combine -2x and 7x to get 5x.
5x^{2}+5x
Combine 9x^{2} and -4x^{2} to get 5x^{2}.
x\left(5x+5\right)
Factor out x.
5x+5
Consider x-2+8x+7-4x. Multiply and combine like terms.
5\left(x+1\right)
Consider 5x+5. Factor out 5.
5x\left(x+1\right)
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}