Question

Write in expanded form :

${(\frac{1}{4}a-\frac{1}{2}b+1)}^2$

Answer 1

given, ${(\frac{1}{4}a-\frac{1}{2}b+1)}^2$

$={[\frac{a}{4}+(-\frac{b}{2})+1]}^2$

$=\frac{a^2}{16}+\frac{b^2}{4}+1-\frac{ab}{4}-b+\frac{a}{2}$