Evaluate
\left(66-x\right)\left(x+20\right)
Expand
1320+46x-x^{2}
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\left(20+x\right)\left(50-x+16\right)
Subtract 20 from 40 to get 20.
\left(20+x\right)\left(66-x\right)
Add 50 and 16 to get 66.
1320-20x+66x-x^{2}
Apply the distributive property by multiplying each term of 20+x by each term of 66-x.
1320+46x-x^{2}
Combine -20x and 66x to get 46x.
\left(20+x\right)\left(50-x+16\right)
Subtract 20 from 40 to get 20.
\left(20+x\right)\left(66-x\right)
Add 50 and 16 to get 66.
1320-20x+66x-x^{2}
Apply the distributive property by multiplying each term of 20+x by each term of 66-x.
1320+46x-x^{2}
Combine -20x and 66x to get 46x.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}