Evaluate
-\frac{\left(x-7\right)^{2}}{4}+5
Expand
-\frac{x^{2}}{4}+\frac{7x}{2}-\frac{29}{4}
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-\frac{1}{4}\left(x^{2}-14x+49\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-7\right)^{2}.
-\frac{1}{4}x^{2}+\frac{7}{2}x-\frac{49}{4}+5
Use the distributive property to multiply -\frac{1}{4} by x^{2}-14x+49.
-\frac{1}{4}x^{2}+\frac{7}{2}x-\frac{29}{4}
Add -\frac{49}{4} and 5 to get -\frac{29}{4}.
-\frac{1}{4}\left(x^{2}-14x+49\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-7\right)^{2}.
-\frac{1}{4}x^{2}+\frac{7}{2}x-\frac{49}{4}+5
Use the distributive property to multiply -\frac{1}{4} by x^{2}-14x+49.
-\frac{1}{4}x^{2}+\frac{7}{2}x-\frac{29}{4}
Add -\frac{49}{4} and 5 to get -\frac{29}{4}.
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