Evaluate
\frac{x^{2}}{4}+x
Expand
\frac{x^{2}}{4}+x
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\frac{1}{4}\left(x^{2}+4x+4\right)-1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
\frac{1}{4}x^{2}+x+1-1
Use the distributive property to multiply \frac{1}{4} by x^{2}+4x+4.
\frac{1}{4}x^{2}+x
Subtract 1 from 1 to get 0.
\frac{1}{4}\left(x^{2}+4x+4\right)-1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
\frac{1}{4}x^{2}+x+1-1
Use the distributive property to multiply \frac{1}{4} by x^{2}+4x+4.
\frac{1}{4}x^{2}+x
Subtract 1 from 1 to get 0.
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