question_answer

Identify the expansion of \[{{\left( \frac{1}{4}+\frac{3}{4}b \right)}^{2}}.\]

A)  \[\frac{1}{16}+\frac{3}{16}b+\frac{{{b}^{2}}}{16}\]

B)       \[\frac{1}{16}+\frac{3}{8}b+\frac{9}{16}{{b}^{2}}\]

C)       \[\frac{3}{16}b+\frac{1}{64}+\frac{9}{16}{{b}^{2}}\]          

D)  \[\frac{1}{4}+\frac{3}{4}b+\frac{9}{16}\]