Question
Expand: $\left(a+\frac{1}{2 a}\right)^2$
✓
Answer
$ \left(a+\frac{1}{2 a}\right)^2$
$=(a)^2+\left(\frac{1}{2 a}\right)^2+2 \times a \times \frac{1}{2 a}$
$ =a^2+\frac{1}{4 a^2}+\frac{2 a}{2 a}$
$ =a^2+\frac{1}{4 a^2}+1$
$=(a)^2+\left(\frac{1}{2 a}\right)^2+2 \times a \times \frac{1}{2 a}$
$ =a^2+\frac{1}{4 a^2}+\frac{2 a}{2 a}$
$ =a^2+\frac{1}{4 a^2}+1$
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