What is expand (y(25y-32)^2)/(1012) ?

The solution to expand (y(25y-32)^2)/(1012) is (625y^3)/(1012)-(400y^2)/(253)+(256y)/(253)

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expand (y(25y-32)^2)/(1012)

expand

\frac{y ( 25 y - 32 ) ^{2}}{1012}

\frac{625 y ^{3}}{1012} - \frac{400 y ^{2}}{253} + \frac{256 y}{253}

Solution steps

\frac{y ( 25 y - 32 ) ^{2}}{1012}

(25 y - 32)^{2} = 625 y^{2} - 1600 y + 1024

= \frac{y ( 625 y ^{2} - 1600 y + 1024 )}{1012}

Expand

y (625 y^{2} - 1600 y + 1024) : 625 y^{3} - 1600 y^{2} + 1024 y

= \frac{625 y ^{3} - 1600 y ^{2} + 1024 y}{1012}

Apply the fraction rule:

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

\frac{625 y ^{3} - 1600 y ^{2} + 1024 y}{1012} = \frac{625 y ^{3}}{1012} - \frac{1600 y ^{2}}{1012} + \frac{1024 y}{1012}

= \frac{625 y ^{3}}{1012} - \frac{1600 y ^{2}}{1012} + \frac{1024 y}{1012}

Cancel

\frac{1600 y ^{2}}{1012} : \frac{400 y ^{2}}{253}

= \frac{625 y ^{3}}{1012} - \frac{400 y ^{2}}{253} + \frac{1024 y}{1012}

Cancel

\frac{1024 y}{1012} : \frac{256 y}{253}

= \frac{625 y ^{3}}{1012} - \frac{400 y ^{2}}{253} + \frac{256 y}{253}

(y cos (x) + 2 x e^{y}) + (sin (x) + x^{2} e^{y - 1}) y^{'} (x)

\frac{a ^{2} + b ^{2}}{( 3 ) ( a ^{2} + 4 + b ^{2} )}

\frac{x ( x - 1 )}{( x + 6 ) ( x - 5 )}

\frac{4 ( x - 1 ) ^{2}}{x ^{2} - 4 x + 5}

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

What is expand (y(25y-32)^2)/(1012) ?
The solution to expand (y(25y-32)^2)/(1012) is (625y^3)/(1012)-(400y^2)/(253)+(256y)/(253)