What is expand ((4p+3)(p+10))/(p^2) ?

The solution to expand ((4p+3)(p+10))/(p^2) is 4+(43)/p+(30)/(p^2)

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expand ((4p+3)(p+10))/(p^2)

expand

\frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

4 + \frac{43}{p} + \frac{30}{p ^{2}}

Solution steps

\frac{( 4 p + 3 ) ( p + 10 )}{p ^{2}}

Expand

(4 p + 3) (p + 10) : 4 p^{2} + 43 p + 30

= \frac{4 p ^{2} + 43 p + 30}{p ^{2}}

Apply the fraction rule:

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

\frac{4 p ^{2} + 43 p + 30}{p ^{2}} = \frac{4 p ^{2}}{p ^{2}} + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

= \frac{4 p ^{2}}{p ^{2}} + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

Cancel

\frac{4 p ^{2}}{p ^{2}} : 4

= 4 + \frac{43 p}{p ^{2}} + \frac{30}{p ^{2}}

Cancel

\frac{43 p}{p ^{2}} : \frac{43}{p}

= 4 + \frac{43}{p} + \frac{30}{p ^{2}}

\frac{d}{d x} ((x - 3) (x - 7)^{3}) + 9

(6 - x) ln (x + 5)

sin (x) (1 + cos^{2} (x))

(y - 1) sin (3 t) e^{c o s (3 t)}

\frac{1}{( s - 4 ) ( s + 6 )}

What is expand ((4p+3)(p+10))/(p^2) ?
The solution to expand ((4p+3)(p+10))/(p^2) is 4+(43)/p+(30)/(p^2)