Evaluate
6\left(x^{2}+16\right)
Expand
6x^{2}+96
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6\left(3\left(x^{2}+2\right)-2\left(x^{2}-5\right)\right)
Multiply 2 and 3 to get 6.
6\left(3x^{2}+6-2\left(x^{2}-5\right)\right)
Use the distributive property to multiply 3 by x^{2}+2.
6\left(3x^{2}+6-2x^{2}+10\right)
Use the distributive property to multiply -2 by x^{2}-5.
6\left(x^{2}+6+10\right)
Combine 3x^{2} and -2x^{2} to get x^{2}.
6\left(x^{2}+16\right)
Add 6 and 10 to get 16.
6x^{2}+96
Use the distributive property to multiply 6 by x^{2}+16.
6\left(3\left(x^{2}+2\right)-2\left(x^{2}-5\right)\right)
Multiply 2 and 3 to get 6.
6\left(3x^{2}+6-2\left(x^{2}-5\right)\right)
Use the distributive property to multiply 3 by x^{2}+2.
6\left(3x^{2}+6-2x^{2}+10\right)
Use the distributive property to multiply -2 by x^{2}-5.
6\left(x^{2}+6+10\right)
Combine 3x^{2} and -2x^{2} to get x^{2}.
6\left(x^{2}+16\right)
Add 6 and 10 to get 16.
6x^{2}+96
Use the distributive property to multiply 6 by x^{2}+16.
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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}