What is expand ((9pi^2)/4+1)^2 ?

The solution to expand ((9pi^2)/4+1)^2 is (81pi^4}{16}+\frac{9pi^2)/2+1

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expand ((9pi^2)/4+1)^2

expand

(\frac{9 π ^{2}}{4} + 1)^{2}

\frac{81 π ^{4}}{16} + \frac{9 π ^{2}}{2} + 1

Decimal Notation

538.54674 \dots

Solution steps

(\frac{9 π ^{2}}{4} + 1)^{2}

Apply Perfect Square Formula:

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

a = \frac{9 π ^{2}}{4}, b = 1

= (\frac{9 π ^{2}}{4})^{2} + 2 \cdot \frac{9 π ^{2}}{4} \cdot 1 + 1^{2}

Simplify

(\frac{9 π ^{2}}{4})^{2} + 2 \cdot \frac{9 π ^{2}}{4} \cdot 1 + 1^{2} : \frac{81 π ^{4}}{16} + \frac{9 π ^{2}}{2} + 1

= \frac{81 π ^{4}}{16} + \frac{9 π ^{2}}{2} + 1

2 x \cdot (1 - ln (x))

(x e^{t} + e^{t}) \cdot x

- \frac{( 3 m - 5 ) ^{2}}{2 m}

3 - 4 (x + Δ x)

(y^{2} - x) d x

What is expand ((9pi^2)/4+1)^2 ?
The solution to expand ((9pi^2)/4+1)^2 is (81pi^4}{16}+\frac{9pi^2)/2+1