Expand
-4x^{2}+16x-8
Evaluate
-4\left(x-2\right)^{2}+8
Graph
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-4\left(x^{2}-4x+4\right)+8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-4x^{2}+16x-16+8
Use the distributive property to multiply -4 by x^{2}-4x+4.
-4x^{2}+16x-8
Add -16 and 8 to get -8.
-4\left(x^{2}-4x+4\right)+8
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-4x^{2}+16x-16+8
Use the distributive property to multiply -4 by x^{2}-4x+4.
-4x^{2}+16x-8
Add -16 and 8 to get -8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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