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

The solution to expand ((x+2)/5)^2 is (x^2)/(25)+(4x)/(25)+4/25

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

expand

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

\frac{x ^{2}}{25} + \frac{4 x}{25} + \frac{4}{25}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(x + 2)^{2} = x^{2} + 4 x + 4

= \frac{x ^{2} + 4 x + 4}{5 ^{2}}

5^{2} = 25

= \frac{x ^{2} + 4 x + 4}{25}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{2} + 4 x + 4}{25} = \frac{x ^{2}}{25} + \frac{4 x}{25} + \frac{4}{25}

= \frac{x ^{2}}{25} + \frac{4 x}{25} + \frac{4}{25}

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

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e^{x} (2 x + e^{- x})

\frac{P ( 1 - V )}{1 + P}

What is expand ((x+2)/5)^2 ?
The solution to expand ((x+2)/5)^2 is (x^2)/(25)+(4x)/(25)+4/25