(4 5/8) ^2 - (2 3/8) ^2

asked by guest
on Nov 25, 2024 at 6:53 am



You asked:

Evaluate the expression: \({4\frac{5}{8}}^{2} - {2\frac{3}{8}}^{2}\)

MathBot Answer:

\[{4\frac{5}{8}}^{2} - {2\frac{3}{8}}^{2} = \frac{63}{4} = 15.75\]

\[\begin{aligned}{4\frac{5}{8}}^{2} - {2\frac{3}{8}}^{2}& = \left(4\frac{5}{8}\right)^{2} - \left(2\frac{3}{8}\right)^{2}\\& = \frac{1369}{64} - \left(2\frac{3}{8}\right)^{2}\\& = \frac{1369}{64} - \frac{361}{64}\\& = \frac{63}{4}\end{aligned}\]

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