Expand
2+4x-2x^{2}
Evaluate
-2\left(x-1\right)^{2}+4
Graph
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-2\left(x^{2}-2x+1\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
-2x^{2}+4x-2+4
Use the distributive property to multiply -2 by x^{2}-2x+1.
-2x^{2}+4x+2
Add -2 and 4 to get 2.
-2\left(x^{2}-2x+1\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
-2x^{2}+4x-2+4
Use the distributive property to multiply -2 by x^{2}-2x+1.
-2x^{2}+4x+2
Add -2 and 4 to get 2.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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