Evaluate
\frac{144x}{5}+\frac{624}{25}
Expand
\frac{144x}{5}+\frac{624}{25}
Graph
Share
Copied to clipboard
8\left(9x-\frac{1}{5}+8\right)\times \frac{2}{5}
Combine x and 8x to get 9x.
8\left(9x-\frac{1}{5}+\frac{40}{5}\right)\times \frac{2}{5}
Convert 8 to fraction \frac{40}{5}.
8\left(9x+\frac{-1+40}{5}\right)\times \frac{2}{5}
Since -\frac{1}{5} and \frac{40}{5} have the same denominator, add them by adding their numerators.
8\left(9x+\frac{39}{5}\right)\times \frac{2}{5}
Add -1 and 40 to get 39.
\frac{8\times 2}{5}\left(9x+\frac{39}{5}\right)
Express 8\times \frac{2}{5} as a single fraction.
\frac{16}{5}\left(9x+\frac{39}{5}\right)
Multiply 8 and 2 to get 16.
\frac{16}{5}\times 9x+\frac{16}{5}\times \frac{39}{5}
Use the distributive property to multiply \frac{16}{5} by 9x+\frac{39}{5}.
\frac{16\times 9}{5}x+\frac{16}{5}\times \frac{39}{5}
Express \frac{16}{5}\times 9 as a single fraction.
\frac{144}{5}x+\frac{16}{5}\times \frac{39}{5}
Multiply 16 and 9 to get 144.
\frac{144}{5}x+\frac{16\times 39}{5\times 5}
Multiply \frac{16}{5} times \frac{39}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{144}{5}x+\frac{624}{25}
Do the multiplications in the fraction \frac{16\times 39}{5\times 5}.
8\left(9x-\frac{1}{5}+8\right)\times \frac{2}{5}
Combine x and 8x to get 9x.
8\left(9x-\frac{1}{5}+\frac{40}{5}\right)\times \frac{2}{5}
Convert 8 to fraction \frac{40}{5}.
8\left(9x+\frac{-1+40}{5}\right)\times \frac{2}{5}
Since -\frac{1}{5} and \frac{40}{5} have the same denominator, add them by adding their numerators.
8\left(9x+\frac{39}{5}\right)\times \frac{2}{5}
Add -1 and 40 to get 39.
\frac{8\times 2}{5}\left(9x+\frac{39}{5}\right)
Express 8\times \frac{2}{5} as a single fraction.
\frac{16}{5}\left(9x+\frac{39}{5}\right)
Multiply 8 and 2 to get 16.
\frac{16}{5}\times 9x+\frac{16}{5}\times \frac{39}{5}
Use the distributive property to multiply \frac{16}{5} by 9x+\frac{39}{5}.
\frac{16\times 9}{5}x+\frac{16}{5}\times \frac{39}{5}
Express \frac{16}{5}\times 9 as a single fraction.
\frac{144}{5}x+\frac{16}{5}\times \frac{39}{5}
Multiply 16 and 9 to get 144.
\frac{144}{5}x+\frac{16\times 39}{5\times 5}
Multiply \frac{16}{5} times \frac{39}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{144}{5}x+\frac{624}{25}
Do the multiplications in the fraction \frac{16\times 39}{5\times 5}.
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}