Evaluate
-3\left(x-4\right)^{2}+7
Expand
-3x^{2}+24x-41
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-3\left(x^{2}-8x+16\right)+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-3x^{2}+24x-48+7
Use the distributive property to multiply -3 by x^{2}-8x+16.
-3x^{2}+24x-41
Add -48 and 7 to get -41.
-3\left(x^{2}-8x+16\right)+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
-3x^{2}+24x-48+7
Use the distributive property to multiply -3 by x^{2}-8x+16.
-3x^{2}+24x-41
Add -48 and 7 to get -41.
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