Evaluate
-\left(x-2\right)\left(5x+1\right)
Expand
2+9x-5x^{2}
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\left(-5x+10\right)\left(x+\frac{1}{5}\right)
Use the distributive property to multiply -5 by x-2.
-5x^{2}-5x\times \frac{1}{5}+10x+10\times \frac{1}{5}
Apply the distributive property by multiplying each term of -5x+10 by each term of x+\frac{1}{5}.
-5x^{2}-x+10x+10\times \frac{1}{5}
Multiply -5 times \frac{1}{5}.
-5x^{2}+9x+10\times \frac{1}{5}
Combine -x and 10x to get 9x.
-5x^{2}+9x+\frac{10}{5}
Multiply 10 and \frac{1}{5} to get \frac{10}{5}.
-5x^{2}+9x+2
Divide 10 by 5 to get 2.
\left(-5x+10\right)\left(x+\frac{1}{5}\right)
Use the distributive property to multiply -5 by x-2.
-5x^{2}-5x\times \frac{1}{5}+10x+10\times \frac{1}{5}
Apply the distributive property by multiplying each term of -5x+10 by each term of x+\frac{1}{5}.
-5x^{2}-x+10x+10\times \frac{1}{5}
Multiply -5 times \frac{1}{5}.
-5x^{2}+9x+10\times \frac{1}{5}
Combine -x and 10x to get 9x.
-5x^{2}+9x+\frac{10}{5}
Multiply 10 and \frac{1}{5} to get \frac{10}{5}.
-5x^{2}+9x+2
Divide 10 by 5 to get 2.
Examples
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{ 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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}