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\frac{1}{3}\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1x+2\right)^{2}.
\frac{1}{3}x^{2}+\frac{4}{3}x+\frac{4}{3}
Use the distributive property to multiply \frac{1}{3} by x^{2}+4x+4.
\frac{1}{3}\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1x+2\right)^{2}.
\frac{1}{3}x^{2}+\frac{4}{3}x+\frac{4}{3}
Use the distributive property to multiply \frac{1}{3} by x^{2}+4x+4.