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

The solution to expand (25(x+4)^2)/(x^2) is 25+(200)/x+(400)/(x^2)

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

expand

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

25 + \frac{200}{x} + \frac{400}{x ^{2}}

Solution steps

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

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{25 ( x ^{2} + 8 x + 16 )}{x ^{2}}

Expand

25 (x^{2} + 8 x + 16) : 25 x^{2} + 200 x + 400

= \frac{25 x ^{2} + 200 x + 400}{x ^{2}}

Apply the fraction rule:

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

\frac{25 x ^{2} + 200 x + 400}{x ^{2}} = \frac{25 x ^{2}}{x ^{2}} + \frac{200 x}{x ^{2}} + \frac{400}{x ^{2}}

= \frac{25 x ^{2}}{x ^{2}} + \frac{200 x}{x ^{2}} + \frac{400}{x ^{2}}

Cancel

\frac{25 x ^{2}}{x ^{2}} : 25

= 25 + \frac{200 x}{x ^{2}} + \frac{400}{x ^{2}}

Cancel

\frac{200 x}{x ^{2}} : \frac{200}{x}

= 25 + \frac{200}{x} + \frac{400}{x ^{2}}

e^{l n (8)}

\frac{( 2 a + 1 ) ^{2}}{4 a - 1}

5 (4 x - 5 + 3 x - 1 = 20)

(3 y x^{2} - y^{4}) (5 e^{5 t})

2 e (2 + ln (2))

What is expand (25(x+4)^2)/(x^2) ?
The solution to expand (25(x+4)^2)/(x^2) is 25+(200)/x+(400)/(x^2)