Evaluate
-\frac{9x^{2}}{25}+9
Expand
-\frac{9x^{2}}{25}+9
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\left(\frac{3}{5}\right)^{2}\left(\sqrt{25-x^{2}}\right)^{2}
Expand \left(\frac{3}{5}\sqrt{25-x^{2}}\right)^{2}.
\frac{9}{25}\left(\sqrt{25-x^{2}}\right)^{2}
Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.
\frac{9}{25}\left(25-x^{2}\right)
Calculate \sqrt{25-x^{2}} to the power of 2 and get 25-x^{2}.
9-\frac{9}{25}x^{2}
Use the distributive property to multiply \frac{9}{25} by 25-x^{2}.
\left(\frac{3}{5}\right)^{2}\left(\sqrt{25-x^{2}}\right)^{2}
Expand \left(\frac{3}{5}\sqrt{25-x^{2}}\right)^{2}.
\frac{9}{25}\left(\sqrt{25-x^{2}}\right)^{2}
Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.
\frac{9}{25}\left(25-x^{2}\right)
Calculate \sqrt{25-x^{2}} to the power of 2 and get 25-x^{2}.
9-\frac{9}{25}x^{2}
Use the distributive property to multiply \frac{9}{25} by 25-x^{2}.
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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}