Evaluate
x\left(x-5\right)
Expand
x^{2}-5x
Graph
Quiz
Polynomial
5 problems similar to:
2 x \cdot \frac { x - 7 } { 3 } + x \cdot \frac { x - 1 } { 3 } =
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\frac{2\left(x-7\right)}{3}x+x\times \frac{x-1}{3}
Express 2\times \frac{x-7}{3} as a single fraction.
\frac{2\left(x-7\right)}{3}x+\frac{x\left(x-1\right)}{3}
Express x\times \frac{x-1}{3} as a single fraction.
\frac{2x-14}{3}x+\frac{x\left(x-1\right)}{3}
Use the distributive property to multiply 2 by x-7.
\frac{\left(2x-14\right)x}{3}+\frac{x\left(x-1\right)}{3}
Express \frac{2x-14}{3}x as a single fraction.
\frac{\left(2x-14\right)x}{3}+\frac{x^{2}-x}{3}
Use the distributive property to multiply x by x-1.
\frac{\left(2x-14\right)x+x^{2}-x}{3}
Since \frac{\left(2x-14\right)x}{3} and \frac{x^{2}-x}{3} have the same denominator, add them by adding their numerators.
\frac{2x^{2}-14x+x^{2}-x}{3}
Do the multiplications in \left(2x-14\right)x+x^{2}-x.
\frac{3x^{2}-15x}{3}
Combine like terms in 2x^{2}-14x+x^{2}-x.
-5x+x^{2}
Divide each term of 3x^{2}-15x by 3 to get -5x+x^{2}.
\frac{2\left(x-7\right)}{3}x+x\times \frac{x-1}{3}
Express 2\times \frac{x-7}{3} as a single fraction.
\frac{2\left(x-7\right)}{3}x+\frac{x\left(x-1\right)}{3}
Express x\times \frac{x-1}{3} as a single fraction.
\frac{2x-14}{3}x+\frac{x\left(x-1\right)}{3}
Use the distributive property to multiply 2 by x-7.
\frac{\left(2x-14\right)x}{3}+\frac{x\left(x-1\right)}{3}
Express \frac{2x-14}{3}x as a single fraction.
\frac{\left(2x-14\right)x}{3}+\frac{x^{2}-x}{3}
Use the distributive property to multiply x by x-1.
\frac{\left(2x-14\right)x+x^{2}-x}{3}
Since \frac{\left(2x-14\right)x}{3} and \frac{x^{2}-x}{3} have the same denominator, add them by adding their numerators.
\frac{2x^{2}-14x+x^{2}-x}{3}
Do the multiplications in \left(2x-14\right)x+x^{2}-x.
\frac{3x^{2}-15x}{3}
Combine like terms in 2x^{2}-14x+x^{2}-x.
-5x+x^{2}
Divide each term of 3x^{2}-15x by 3 to get -5x+x^{2}.
Examples
Quadratic equation
{ 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}