Evaluate
11\left(x^{2}+2x-1\right)
Expand
11x^{2}+22x-11
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6x^{2}-3x+2x-1+\left(x+5\right)\left(5x-2\right)
Apply the distributive property by multiplying each term of 3x+1 by each term of 2x-1.
6x^{2}-x-1+\left(x+5\right)\left(5x-2\right)
Combine -3x and 2x to get -x.
6x^{2}-x-1+5x^{2}-2x+25x-10
Apply the distributive property by multiplying each term of x+5 by each term of 5x-2.
6x^{2}-x-1+5x^{2}+23x-10
Combine -2x and 25x to get 23x.
11x^{2}-x-1+23x-10
Combine 6x^{2} and 5x^{2} to get 11x^{2}.
11x^{2}+22x-1-10
Combine -x and 23x to get 22x.
11x^{2}+22x-11
Subtract 10 from -1 to get -11.
6x^{2}-3x+2x-1+\left(x+5\right)\left(5x-2\right)
Apply the distributive property by multiplying each term of 3x+1 by each term of 2x-1.
6x^{2}-x-1+\left(x+5\right)\left(5x-2\right)
Combine -3x and 2x to get -x.
6x^{2}-x-1+5x^{2}-2x+25x-10
Apply the distributive property by multiplying each term of x+5 by each term of 5x-2.
6x^{2}-x-1+5x^{2}+23x-10
Combine -2x and 25x to get 23x.
11x^{2}-x-1+23x-10
Combine 6x^{2} and 5x^{2} to get 11x^{2}.
11x^{2}+22x-1-10
Combine -x and 23x to get 22x.
11x^{2}+22x-11
Subtract 10 from -1 to get -11.
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}