(3/4)² - (1/2)² + 1/2
You asked:
Evaluate the expression: \({\left( \frac{3}{4} \right)}^{2} - {\left( \frac{1}{2} \right)}^{2} + \frac{1}{2}\)
MathBot Answer:
\[{\left( \frac{3}{4} \right)}^{2} - {\left( \frac{1}{2} \right)}^{2} + \frac{1}{2} = \frac{13}{16} = 0.8125\]
\[\begin{aligned}{\left( \frac{3}{4} \right)}^{2} - {\left( \frac{1}{2} \right)}^{2} + \frac{1}{2}& = \left(\frac{3}{4}\right)^{2} - \left(\frac{1}{2}\right)^{2} + \frac{1}{2}\\& = \frac{9}{16} - \left(\frac{1}{2}\right)^{2} + \frac{1}{2}\\& = \frac{9}{16} - \frac{1}{4} + \frac{1}{2}\\& = \frac{5}{16} + \frac{1}{2}\\& = \frac{13}{16}\end{aligned}\]