( 20,5 ^ { 2 } + 3 \cdot 15 ^ { 2 } )
Evaluate
1175
Factor
5^{2}\times 47
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20\times 25+3\times 15^{2}
Calculate 5 to the power of 2 and get 25.
500+3\times 15^{2}
Multiply 20 and 25 to get 500.
500+3\times 225
Calculate 15 to the power of 2 and get 225.
500+675
Multiply 3 and 225 to get 675.
1175
Add 500 and 675 to get 1175.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}