Evaluate
-3\left(2-x\right)^{2}-\frac{1}{2}
Expand
-3x^{2}+12x-\frac{25}{2}
Graph
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-\frac{1}{2}-3\left(4-4x+x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
-\frac{1}{2}-12+12x-3x^{2}
Use the distributive property to multiply -3 by 4-4x+x^{2}.
-\frac{25}{2}+12x-3x^{2}
Subtract 12 from -\frac{1}{2} to get -\frac{25}{2}.
-\frac{1}{2}-3\left(4-4x+x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
-\frac{1}{2}-12+12x-3x^{2}
Use the distributive property to multiply -3 by 4-4x+x^{2}.
-\frac{25}{2}+12x-3x^{2}
Subtract 12 from -\frac{1}{2} to get -\frac{25}{2}.
Examples
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Limits
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