Evaluate
\frac{x\left(x+14\right)}{6}
Expand
\frac{x^{2}}{6}+\frac{7x}{3}
Graph
Quiz
Polynomial
5 problems similar to:
( \frac { 2 x } { 5 } + 7 + \frac { x } { 10 } ) \frac { x } { 3 }
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\left(\frac{2x}{5}+\frac{7\times 5}{5}+\frac{x}{10}\right)\times \frac{x}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{5}{5}.
\left(\frac{2x+7\times 5}{5}+\frac{x}{10}\right)\times \frac{x}{3}
Since \frac{2x}{5} and \frac{7\times 5}{5} have the same denominator, add them by adding their numerators.
\left(\frac{2x+35}{5}+\frac{x}{10}\right)\times \frac{x}{3}
Do the multiplications in 2x+7\times 5.
\left(\frac{2\left(2x+35\right)}{10}+\frac{x}{10}\right)\times \frac{x}{3}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 10 is 10. Multiply \frac{2x+35}{5} times \frac{2}{2}.
\frac{2\left(2x+35\right)+x}{10}\times \frac{x}{3}
Since \frac{2\left(2x+35\right)}{10} and \frac{x}{10} have the same denominator, add them by adding their numerators.
\frac{4x+70+x}{10}\times \frac{x}{3}
Do the multiplications in 2\left(2x+35\right)+x.
\frac{5x+70}{10}\times \frac{x}{3}
Combine like terms in 4x+70+x.
\frac{\left(5x+70\right)x}{10\times 3}
Multiply \frac{5x+70}{10} times \frac{x}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(5x+70\right)x}{30}
Multiply 10 and 3 to get 30.
\frac{5x^{2}+70x}{30}
Use the distributive property to multiply 5x+70 by x.
\left(\frac{2x}{5}+\frac{7\times 5}{5}+\frac{x}{10}\right)\times \frac{x}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{5}{5}.
\left(\frac{2x+7\times 5}{5}+\frac{x}{10}\right)\times \frac{x}{3}
Since \frac{2x}{5} and \frac{7\times 5}{5} have the same denominator, add them by adding their numerators.
\left(\frac{2x+35}{5}+\frac{x}{10}\right)\times \frac{x}{3}
Do the multiplications in 2x+7\times 5.
\left(\frac{2\left(2x+35\right)}{10}+\frac{x}{10}\right)\times \frac{x}{3}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 10 is 10. Multiply \frac{2x+35}{5} times \frac{2}{2}.
\frac{2\left(2x+35\right)+x}{10}\times \frac{x}{3}
Since \frac{2\left(2x+35\right)}{10} and \frac{x}{10} have the same denominator, add them by adding their numerators.
\frac{4x+70+x}{10}\times \frac{x}{3}
Do the multiplications in 2\left(2x+35\right)+x.
\frac{5x+70}{10}\times \frac{x}{3}
Combine like terms in 4x+70+x.
\frac{\left(5x+70\right)x}{10\times 3}
Multiply \frac{5x+70}{10} times \frac{x}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(5x+70\right)x}{30}
Multiply 10 and 3 to get 30.
\frac{5x^{2}+70x}{30}
Use the distributive property to multiply 5x+70 by 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}