What is expand (2(715-p)^2)/5 ?

The solution to expand (2(715-p)^2)/5 is (2p^2)/5-572p+204490

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expand (2(715-p)^2)/5

expand

\frac{2 ( 715 - p ) ^{2}}{5}

\frac{2 p ^{2}}{5} - 572 p + 204490

Solution steps

\frac{2 ( 715 - p ) ^{2}}{5}

(715 - p)^{2} = 511225 - 1430 p + p^{2}

= \frac{2 ( p ^{2} - 1430 p + 511225 )}{5}

Expand

2 (511225 - 1430 p + p^{2}) : 1022450 - 2860 p + 2 p^{2}

= \frac{1022450 - 2860 p + 2 p ^{2}}{5}

Apply the fraction rule:

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

\frac{1022450 - 2860 p + 2 p ^{2}}{5} = \frac{1022450}{5} - \frac{2860 p}{5} + \frac{2 p ^{2}}{5}

= \frac{1022450}{5} - \frac{2860 p}{5} + \frac{2 p ^{2}}{5}

Divide the numbers:

\frac{1022450}{5} = 204490

= 204490 - \frac{2860 p}{5} + \frac{2 p ^{2}}{5}

Divide the numbers:

\frac{2860}{5} = 572

= 204490 - 572 p + \frac{2 p ^{2}}{5}

Rewrite in standard form

= \frac{2 p ^{2}}{5} - 572 p + 204490

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

\frac{18}{s ( s ^{2} + 36 )}

\frac{10}{( s + 10 ) ( s ^{2} + 2 s + 1 )}

\frac{( x + 1 )}{( x - 1 )} - \frac{x}{( x + 2 )}

(2 - 2 x) e^{2 x - x^{2} - 4 y - y^{2} = 0}

What is expand (2(715-p)^2)/5 ?
The solution to expand (2(715-p)^2)/5 is (2p^2)/5-572p+204490