(5 $\sqrt{3}$+2)(5 $\sqrt{3}$-2)
You asked:
Evaluate the expression: \(\left(5 \cdot \sqrt{3} + 2\right) \cdot \left(5 \cdot \sqrt{3} - 2\right)\)
MathBot Answer:
\[\left(5 \cdot \sqrt{3} + 2\right) \cdot \left(5 \cdot \sqrt{3} - 2\right) = \left(-2 + 5 \sqrt{3}\right) \left(2 + 5 \sqrt{3}\right) \approx 71.0\]
\[\begin{aligned}\left(5 \cdot \sqrt{3} + 2\right) \cdot \left(5 \cdot \sqrt{3} - 2\right)& = \left(2 + 5 \cdot \sqrt{3}\right) \cdot \left(5 \cdot \sqrt{3} - 2\right)\\& = \left(2 + 5 \cdot \sqrt{3}\right) \cdot \left(-2 + 5 \cdot \sqrt{3}\right)\\& = \left(-2 + 5 \cdot \sqrt{3}\right) \cdot \left(2 + 5 \cdot \sqrt{3}\right)\end{aligned}\]