Evaluate
\frac{\left(x-7\right)\left(x+15\right)}{3}
Expand
\frac{x^{2}}{3}+\frac{8x}{3}-35
Graph
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\frac{7}{3}x\times \frac{1}{7}x+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Apply the distributive property by multiplying each term of \frac{7}{3}x+35 by each term of \frac{1}{7}x-1.
\frac{7}{3}x^{2}\times \frac{1}{7}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Multiply x and x to get x^{2}.
\frac{7\times 1}{3\times 7}x^{2}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Multiply \frac{7}{3} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{3}x^{2}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Cancel out 7 in both numerator and denominator.
\frac{1}{3}x^{2}-\frac{7}{3}x+35\times \frac{1}{7}x-35
Multiply \frac{7}{3} and -1 to get -\frac{7}{3}.
\frac{1}{3}x^{2}-\frac{7}{3}x+\frac{35}{7}x-35
Multiply 35 and \frac{1}{7} to get \frac{35}{7}.
\frac{1}{3}x^{2}-\frac{7}{3}x+5x-35
Divide 35 by 7 to get 5.
\frac{1}{3}x^{2}+\frac{8}{3}x-35
Combine -\frac{7}{3}x and 5x to get \frac{8}{3}x.
\frac{7}{3}x\times \frac{1}{7}x+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Apply the distributive property by multiplying each term of \frac{7}{3}x+35 by each term of \frac{1}{7}x-1.
\frac{7}{3}x^{2}\times \frac{1}{7}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Multiply x and x to get x^{2}.
\frac{7\times 1}{3\times 7}x^{2}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Multiply \frac{7}{3} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{3}x^{2}+\frac{7}{3}x\left(-1\right)+35\times \frac{1}{7}x-35
Cancel out 7 in both numerator and denominator.
\frac{1}{3}x^{2}-\frac{7}{3}x+35\times \frac{1}{7}x-35
Multiply \frac{7}{3} and -1 to get -\frac{7}{3}.
\frac{1}{3}x^{2}-\frac{7}{3}x+\frac{35}{7}x-35
Multiply 35 and \frac{1}{7} to get \frac{35}{7}.
\frac{1}{3}x^{2}-\frac{7}{3}x+5x-35
Divide 35 by 7 to get 5.
\frac{1}{3}x^{2}+\frac{8}{3}x-35
Combine -\frac{7}{3}x and 5x to get \frac{8}{3}x.
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}