Evaluate
\frac{3\left(x-40\right)\left(x-30\right)}{5}
Expand
\frac{3x^{2}}{5}-42x+720
Graph
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\frac{120-3x}{4}\left(\frac{24\times 5}{5}-\frac{4x}{5}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 24 times \frac{5}{5}.
\frac{120-3x}{4}\times \frac{24\times 5-4x}{5}
Since \frac{24\times 5}{5} and \frac{4x}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{120-3x}{4}\times \frac{120-4x}{5}
Do the multiplications in 24\times 5-4x.
\frac{\left(120-3x\right)\left(120-4x\right)}{4\times 5}
Multiply \frac{120-3x}{4} times \frac{120-4x}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(120-3x\right)\left(120-4x\right)}{20}
Multiply 4 and 5 to get 20.
\frac{14400-480x-360x+12x^{2}}{20}
Apply the distributive property by multiplying each term of 120-3x by each term of 120-4x.
\frac{14400-840x+12x^{2}}{20}
Combine -480x and -360x to get -840x.
\frac{120-3x}{4}\left(\frac{24\times 5}{5}-\frac{4x}{5}\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply 24 times \frac{5}{5}.
\frac{120-3x}{4}\times \frac{24\times 5-4x}{5}
Since \frac{24\times 5}{5} and \frac{4x}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{120-3x}{4}\times \frac{120-4x}{5}
Do the multiplications in 24\times 5-4x.
\frac{\left(120-3x\right)\left(120-4x\right)}{4\times 5}
Multiply \frac{120-3x}{4} times \frac{120-4x}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(120-3x\right)\left(120-4x\right)}{20}
Multiply 4 and 5 to get 20.
\frac{14400-480x-360x+12x^{2}}{20}
Apply the distributive property by multiplying each term of 120-3x by each term of 120-4x.
\frac{14400-840x+12x^{2}}{20}
Combine -480x and -360x to get -840x.
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}