What is expand (-x/(25pi)+4)^2 ?

The solution to expand (-x/(25pi)+4)^2 is (x^2)/(625pi^2)-(8x)/(25pi)+16

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expand (-x/(25pi)+4)^2

expand

(- \frac{x}{25 π} + 4)^{2}

\frac{x ^{2}}{625 π ^{2}} - \frac{8 x}{25 π} + 16

Solution steps

(- \frac{x}{25 π} + 4)^{2}

Apply Perfect Square Formula:

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

a = - \frac{x}{25 π}, b = 4

= (- \frac{x}{25 π})^{2} + 2 (- \frac{x}{25 π}) \cdot 4 + 4^{2}

Simplify

(- \frac{x}{25 π})^{2} + 2 (- \frac{x}{25 π}) \cdot 4 + 4^{2} : \frac{x ^{2}}{625 π ^{2}} - \frac{8 x}{25 π} + 16

= \frac{x ^{2}}{625 π ^{2}} - \frac{8 x}{25 π} + 16

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\frac{2 x ^{2}}{( 0.05 - x ) ^{2}}

What is expand (-x/(25pi)+4)^2 ?
The solution to expand (-x/(25pi)+4)^2 is (x^2)/(625pi^2)-(8x)/(25pi)+16