Evaluate
4\left(x^{2}-29x+200\right)
Expand
4x^{2}-116x+800
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600-40x-60x+4x^{2}+2\left(100-8x\right)
Apply the distributive property by multiplying each term of 20-2x by each term of 30-2x.
600-100x+4x^{2}+2\left(100-8x\right)
Combine -40x and -60x to get -100x.
600-100x+4x^{2}+200-16x
Use the distributive property to multiply 2 by 100-8x.
800-100x+4x^{2}-16x
Add 600 and 200 to get 800.
800-116x+4x^{2}
Combine -100x and -16x to get -116x.
600-40x-60x+4x^{2}+2\left(100-8x\right)
Apply the distributive property by multiplying each term of 20-2x by each term of 30-2x.
600-100x+4x^{2}+2\left(100-8x\right)
Combine -40x and -60x to get -100x.
600-100x+4x^{2}+200-16x
Use the distributive property to multiply 2 by 100-8x.
800-100x+4x^{2}-16x
Add 600 and 200 to get 800.
800-116x+4x^{2}
Combine -100x and -16x to get -116x.
Examples
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y = 3x + 4
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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}