What is expand 3[(s-1)^2+4*pi^2] ?

The solution to expand 3[(s-1)^2+4*pi^2] is 3s^2-6s+3+12pi^2

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expand 3[(s-1)^2+4*pi^2]

expand

3 [(s - 1)^{2} + 4 \cdot π^{2}]

3 s^{2} - 6 s + 3 + 12 π^{2}

Solution steps

3 ((s - 1)^{2} + 4 π^{2})

Expand

(s - 1)^{2} + 4 π^{2} : s^{2} - 2 s + 1 + 4 π^{2}

= 3 (s^{2} - 2 s + 1 + 4 π^{2})

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 3 s^{2} - 3 \cdot 2 s + 3 \cdot 1 + 3 \cdot 4 π^{2}

Simplify

3 s^{2} - 3 \cdot 2 s + 3 \cdot 1 + 3 \cdot 4 π^{2} : 3 s^{2} - 6 s + 3 + 12 π^{2}

= 3 s^{2} - 6 s + 3 + 12 π^{2}

8 x \cdot 5 x

4 (7 p - 3 q = - 2, 8) + 7 (5 q - 4 p = 16)

\frac{x ^{2} + 5}{5 ( x + 1 )}

\frac{240}{( x + 1 ) ^{5}}

(\frac{2 i}{n})^{2}

What is expand 3[(s-1)^2+4*pi^2] ?
The solution to expand 3[(s-1)^2+4*pi^2] is 3s^2-6s+3+12pi^2