What is expand ((15pi)/4+2)^2 ?

The solution to expand ((15pi)/4+2)^2 is (225pi^2)/(16)+15pi+4

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expand ((15pi)/4+2)^2

expand

(\frac{15 π}{4} + 2)^{2}

\frac{225 π ^{2}}{16} + 15 π + 4

Decimal Notation

189.91520 \dots

Solution steps

(\frac{15 π}{4} + 2)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = \frac{15 π}{4}, b = 2

= (\frac{15 π}{4})^{2} + 2 \cdot \frac{15 π}{4} \cdot 2 + 2^{2}

Simplify

(\frac{15 π}{4})^{2} + 2 \cdot \frac{15 π}{4} \cdot 2 + 2^{2} : \frac{225 π ^{2}}{16} + 15 π + 4

= \frac{225 π ^{2}}{16} + 15 π + 4

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What is expand ((15pi)/4+2)^2 ?
The solution to expand ((15pi)/4+2)^2 is (225pi^2)/(16)+15pi+4