Question

Simplify: 5/4 + 4 (3/4 - 1/2)^2

Answer 1

$= > \frac{5}{4} + 4 {( \frac{3}{4} - \frac{1}{2} )}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3}{4} - \frac{1 \times 2}{2 \times 2} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3}{4} - \frac{2}{4} ){}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3 - 2}{4} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{1}{4} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{1 \times 1}{4 \times 4} ) \\ \\ \\ \\ = > \: \frac{5}{4} +4 (\frac{1}{16} )\\ \\ \\ \\ = > ( \frac{5}{4} + \frac{1}{4} ) \\ \\ \\ \\ => \frac{5+1}{4} \\ \\ \\ \\ \frac{3}{2}$