- \frac{ 1 }{ 5 } (10x-x+10
Evaluate
-\frac{9x}{5}-2
Expand
-\frac{9x}{5}-2
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-\frac{1}{5}\left(9x+10\right)
Combine 10x and -x to get 9x.
-\frac{1}{5}\times 9x-\frac{1}{5}\times 10
Use the distributive property to multiply -\frac{1}{5} by 9x+10.
\frac{-9}{5}x-\frac{1}{5}\times 10
Express -\frac{1}{5}\times 9 as a single fraction.
-\frac{9}{5}x-\frac{1}{5}\times 10
Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.
-\frac{9}{5}x+\frac{-10}{5}
Express -\frac{1}{5}\times 10 as a single fraction.
-\frac{9}{5}x-2
Divide -10 by 5 to get -2.
-\frac{1}{5}\left(9x+10\right)
Combine 10x and -x to get 9x.
-\frac{1}{5}\times 9x-\frac{1}{5}\times 10
Use the distributive property to multiply -\frac{1}{5} by 9x+10.
\frac{-9}{5}x-\frac{1}{5}\times 10
Express -\frac{1}{5}\times 9 as a single fraction.
-\frac{9}{5}x-\frac{1}{5}\times 10
Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.
-\frac{9}{5}x+\frac{-10}{5}
Express -\frac{1}{5}\times 10 as a single fraction.
-\frac{9}{5}x-2
Divide -10 by 5 to get -2.
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y = 3x + 4
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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}