Evaluate
\frac{\left(x-5\right)\left(2x-25\right)}{25}
Expand
\frac{2x^{2}}{25}-\frac{7x}{5}+5
Graph
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\frac{2}{5}x\times \frac{1}{5}x+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Apply the distributive property by multiplying each term of \frac{2}{5}x-5 by each term of \frac{1}{5}x-1.
\frac{2}{5}x^{2}\times \frac{1}{5}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Multiply x and x to get x^{2}.
\frac{2\times 1}{5\times 5}x^{2}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Multiply \frac{2}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{25}x^{2}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Do the multiplications in the fraction \frac{2\times 1}{5\times 5}.
\frac{2}{25}x^{2}-\frac{2}{5}x-5\times \frac{1}{5}x+5
Multiply \frac{2}{5} and -1 to get -\frac{2}{5}.
\frac{2}{25}x^{2}-\frac{2}{5}x-x+5
Multiply -5 times \frac{1}{5}.
\frac{2}{25}x^{2}-\frac{7}{5}x+5
Combine -\frac{2}{5}x and -x to get -\frac{7}{5}x.
\frac{2}{5}x\times \frac{1}{5}x+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Apply the distributive property by multiplying each term of \frac{2}{5}x-5 by each term of \frac{1}{5}x-1.
\frac{2}{5}x^{2}\times \frac{1}{5}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Multiply x and x to get x^{2}.
\frac{2\times 1}{5\times 5}x^{2}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Multiply \frac{2}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{25}x^{2}+\frac{2}{5}x\left(-1\right)-5\times \frac{1}{5}x+5
Do the multiplications in the fraction \frac{2\times 1}{5\times 5}.
\frac{2}{25}x^{2}-\frac{2}{5}x-5\times \frac{1}{5}x+5
Multiply \frac{2}{5} and -1 to get -\frac{2}{5}.
\frac{2}{25}x^{2}-\frac{2}{5}x-x+5
Multiply -5 times \frac{1}{5}.
\frac{2}{25}x^{2}-\frac{7}{5}x+5
Combine -\frac{2}{5}x and -x to get -\frac{7}{5}x.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}