What is expand ((5y+8)(25y+40))/(128y) ?

The solution to expand ((5y+8)(25y+40))/(128y) is (125y)/(128)+25/8+5/(2y)

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expand ((5y+8)(25y+40))/(128y)

expand

\frac{( 5 y + 8 ) ( 25 y + 40 )}{128 y}

\frac{125 y}{128} + \frac{25}{8} + \frac{5}{2 y}

Solution steps

\frac{( 5 y + 8 ) ( 25 y + 40 )}{128 y}

Expand

(5 y + 8) (25 y + 40) : 125 y^{2} + 400 y + 320

= \frac{125 y ^{2} + 400 y + 320}{128 y}

Apply the fraction rule:

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

\frac{125 y ^{2} + 400 y + 320}{128 y} = \frac{125 y ^{2}}{128 y} + \frac{400 y}{128 y} + \frac{320}{128 y}

= \frac{125 y ^{2}}{128 y} + \frac{400 y}{128 y} + \frac{320}{128 y}

Cancel

\frac{125 y ^{2}}{128 y} : \frac{125 y}{128}

= \frac{125 y}{128} + \frac{400 y}{128 y} + \frac{320}{128 y}

Cancel

\frac{400 y}{128 y} : \frac{25}{8}

= \frac{125 y}{128} + \frac{25}{8} + \frac{320}{128 y}

Cancel

\frac{320}{128 y} : \frac{5}{2 y}

= \frac{125 y}{128} + \frac{25}{8} + \frac{5}{2 y}

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What is expand ((5y+8)(25y+40))/(128y) ?
The solution to expand ((5y+8)(25y+40))/(128y) is (125y)/(128)+25/8+5/(2y)