What is expand (((5x-k)^2))/x ?

The solution to expand (((5x-k)^2))/x is 25x-10k+(k^2)/x

Popular >

expand (((5x-k)^2))/x

expand

\frac{( ( 5 x - k ) ^{2} )}{x}

25 x - 10 k + \frac{k ^{2}}{x}

Solution steps

\frac{( 5 x - k ) ^{2}}{x}

(5 x - k)^{2} = 25 x^{2} - 10 k x + k^{2}

= \frac{25 x ^{2} - 10 k x + k ^{2}}{x}

Apply the fraction rule:

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

\frac{25 x ^{2} - 10 k x + k ^{2}}{x} = \frac{25 x ^{2}}{x} - \frac{10 k x}{x} + \frac{k ^{2}}{x}

= \frac{25 x ^{2}}{x} - \frac{10 k x}{x} + \frac{k ^{2}}{x}

Cancel

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

= 25 x - \frac{10 k x}{x} + \frac{k ^{2}}{x}

Cancel

\frac{10 k x}{x} : 10 k

= 25 x - 10 k + \frac{k ^{2}}{x}

\frac{4 x}{( x + 1 ) ^{2}}

\frac{5 x ^{2} - 3 x + 10}{( x - 1 ) ( x ^{2} + 3 )}

\frac{s ^{2} + 6 s + 19}{( s + 5 ) ( s + 25 )}

x \cdot (\frac{384}{x - 12} + 8)

8 (x - \frac{4}{5})

What is expand (((5x-k)^2))/x ?
The solution to expand (((5x-k)^2))/x is 25x-10k+(k^2)/x