Evaluate
-3\left(x-2\right)^{2}-4
Expand
-3x^{2}+12x-16
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-3\left(x^{2}-4x+4\right)-4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-3x^{2}+12x-12-4
Use the distributive property to multiply -3 by x^{2}-4x+4.
-3x^{2}+12x-16
Subtract 4 from -12 to get -16.
-3\left(x^{2}-4x+4\right)-4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-3x^{2}+12x-12-4
Use the distributive property to multiply -3 by x^{2}-4x+4.
-3x^{2}+12x-16
Subtract 4 from -12 to get -16.
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