What is expand ((2x+5)/4)^2 ?

The solution to expand ((2x+5)/4)^2 is (x^2)/4+(5x)/4+25/16

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expand ((2x+5)/4)^2

expand

(\frac{2 x + 5}{4})^{2}

\frac{x ^{2}}{4} + \frac{5 x}{4} + \frac{25}{16}

Solution steps

(\frac{2 x + 5}{4})^{2}

Apply exponent rule:

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

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

(2 x + 5)^{2} = 4 x^{2} + 20 x + 25

= \frac{4 x ^{2} + 20 x + 25}{4 ^{2}}

4^{2} = 16

= \frac{4 x ^{2} + 20 x + 25}{16}

Apply the fraction rule:

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

\frac{4 x ^{2} + 20 x + 25}{16} = \frac{4 x ^{2}}{16} + \frac{20 x}{16} + \frac{25}{16}

= \frac{4 x ^{2}}{16} + \frac{20 x}{16} + \frac{25}{16}

Cancel

\frac{4 x ^{2}}{16} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4} + \frac{20 x}{16} + \frac{25}{16}

Cancel

\frac{20 x}{16} : \frac{5 x}{4}

= \frac{x ^{2}}{4} + \frac{5 x}{4} + \frac{25}{16}

2 π r^{2} \cdot (π r - 2 π r^{2})

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

y^{3} d x - (x + 1) d y

(1 - e^{\frac{x}{25}})^{2}

\frac{( x + 5 ) ( 4 x + 320 )}{x}

What is expand ((2x+5)/4)^2 ?
The solution to expand ((2x+5)/4)^2 is (x^2)/4+(5x)/4+25/16