What is (75+c/2)(450-3c)-c(450-3c) ?

The solution to (75+c/2)(450-3c)-c(450-3c) is 3c^2-(3c(150+c))/2-225c+33750

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simplify (75+c/2)(450-3c)-c(450-3c)

simplify

(75 + \frac{c}{2}) (450 - 3 c) - c (450 - 3 c)

3 c^{2} - \frac{3 c ( 150 + c )}{2} - 225 c + 33750

Solution steps

(75 + \frac{c}{2}) (450 - 3 c) - c (450 - 3 c)

Join

75 + \frac{c}{2} : \frac{150 + c}{2}

= \frac{150 + c}{2} (450 - 3 c) - c (450 - 3 c)

Expand

\frac{150 + c}{2} (450 - 3 c) : 33750 + 225 c - \frac{3 ( 150 + c ) c}{2}

= 33750 + 225 c - \frac{3 ( 150 + c ) c}{2} - c (450 - 3 c)

Expand

- c (450 - 3 c) : - 450 c + 3 c^{2}

= 33750 + 225 c - \frac{3 ( 150 + c ) c}{2} - 450 c + 3 c^{2}

Group like terms

= 3 c^{2} - \frac{3 ( 150 + c ) c}{2} + 225 c - 450 c + 33750

Add similar elements:

225 c - 450 c = - 225 c

= 3 c^{2} - \frac{3 ( 150 + c ) c}{2} - 225 c + 33750

= 3 c^{2} - \frac{3 c ( 150 + c )}{2} - 225 c + 33750

- 711 (7 + 33)

\frac{1}{( x - a ) ( x - b ) ( x - c )}

4 x 3 - 7 + 10 x

(7 x - \frac{1}{2}) (7 x + \frac{1}{2})

\frac{y ^{2} ( 1 - x ^{2} )}{2}

What is (75+c/2)(450-3c)-c(450-3c) ?
The solution to (75+c/2)(450-3c)-c(450-3c) is 3c^2-(3c(150+c))/2-225c+33750