What is expand (5x+pi/(180))^2 ?

The solution to expand (5x+pi/(180))^2 is 25x^2+(pix)/(18)+(pi^2)/(32400)

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expand (5x+pi/(180))^2

expand

(5 x + \frac{π}{180})^{2}

25 x^{2} + \frac{π x}{18} + \frac{π ^{2}}{32400}

Solution steps

(5 x + \frac{π}{180})^{2}

Apply Perfect Square Formula:

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

a = 5 x, b = \frac{π}{180}

= (5 x)^{2} + 2 \cdot 5 x \frac{π}{180} + (\frac{π}{180})^{2}

Simplify

(5 x)^{2} + 2 \cdot 5 x \frac{π}{180} + (\frac{π}{180})^{2} : 25 x^{2} + \frac{π x}{18} + \frac{π ^{2}}{32400}

= 25 x^{2} + \frac{π x}{18} + \frac{π ^{2}}{32400}

(1 - \frac{c}{a + c}) \cdot (\frac{1}{a} + \frac{c}{a ^{2}})

\frac{10 ( 10 + 9 4 ^{\frac{1}{2}} )}{3}

\frac{( x ^{3} - 6 x ^{2} + 10 x - 4 )}{( x - 2 )}

(d n + 2) (2 n + d n + m)^{2}

(x - y) d x + x y d y

What is expand (5x+pi/(180))^2 ?
The solution to expand (5x+pi/(180))^2 is 25x^2+(pix)/(18)+(pi^2)/(32400)