What is expand (1+4pi^2)^3 ?

The solution to expand (1+4pi^2)^3 is 1+12pi^2+48pi^4+64pi^6

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expand (1+4pi^2)^3

expand

(1 + 4 π^{2})^{3}

1 + 12 π^{2} + 48 π^{4} + 64 π^{6}

Decimal Notation

66323.98001 \dots

Solution steps

(1 + 4 π^{2})^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = 1, b = 4 π^{2}

= 1^{3} + 3 \cdot 1^{2} \cdot 4 π^{2} + 3 \cdot 1 \cdot (4 π^{2})^{2} + (4 π^{2})^{3}

Simplify

1^{3} + 3 \cdot 1^{2} \cdot 4 π^{2} + 3 \cdot 1 \cdot (4 π^{2})^{2} + (4 π^{2})^{3} : 1 + 12 π^{2} + 48 π^{4} + 64 π^{6}

= 1 + 12 π^{2} + 48 π^{4} + 64 π^{6}

e (x e^{x + y} + 1)

(1 - ln (x^{2} + 1))^{2}

\frac{x ( l s + a )}{l s}

\frac{x - 3}{x ( x ^{2} + 24 )}

2 e (e + 5)

What is expand (1+4pi^2)^3 ?
The solution to expand (1+4pi^2)^3 is 1+12pi^2+48pi^4+64pi^6