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

The solution to expand ((4+x)(4-x))/(x^2) is (16)/(x^2)-1

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

expand

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

\frac{16}{x ^{2}} - 1

Solution steps

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

Expand

(4 + x) (4 - x) : 16 - x^{2}

= \frac{16 - x ^{2}}{x ^{2}}

Apply the fraction rule:

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

\frac{16 - x ^{2}}{x ^{2}} = \frac{16}{x ^{2}} - \frac{x ^{2}}{x ^{2}}

= \frac{16}{x ^{2}} - \frac{x ^{2}}{x ^{2}}

Apply rule

\frac{a}{a} = 1

\frac{x ^{2}}{x ^{2}} = 1

= \frac{16}{x ^{2}} - 1

(y^{2} - 1) d x + (2 x y) d y

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

g (3 = 3 (- 1)^{2} - 2 (- 3) + 2)

\frac{d}{d t} ((x) (k x (t) (1000 - x)))

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

What is expand ((4+x)(4-x))/(x^2) ?
The solution to expand ((4+x)(4-x))/(x^2) is (16)/(x^2)-1