What is expand ((x-3)*(25*x-75))/2 ?

The solution to expand ((x-3)*(25*x-75))/2 is (25x^2)/2-75x+225/2

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expand ((x-3)(25x-75))/2

expand

\frac{( x - 3 ) \cdot ( 25 \cdot x - 75 )}{2}

\frac{25 x ^{2}}{2} - 75 x + \frac{225}{2}

Solution steps

\frac{( x - 3 ) ( 25 x - 75 )}{2}

Expand

(x - 3) (25 x - 75) : 25 x^{2} - 150 x + 225

= \frac{25 x ^{2} - 150 x + 225}{2}

Apply the fraction rule:

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

\frac{25 x ^{2} - 150 x + 225}{2} = \frac{25 x ^{2}}{2} - \frac{150 x}{2} + \frac{225}{2}

= \frac{25 x ^{2}}{2} - \frac{150 x}{2} + \frac{225}{2}

Divide the numbers:

\frac{150}{2} = 75

= \frac{25 x ^{2}}{2} - 75 x + \frac{225}{2}

\frac{1}{( t ^{2} - 9 ) ^{2}}

\frac{270000 \cdot 0.05}{1 - ( 1 - 9 ) ^{- 60}}

\frac{C ( 2 ^{X} + 3 ^{X} )}{6 ^{X}}

x^{n + 1} (x^{n} + 3) + x^{n} (x^{3} - 1)^{'}

\frac{n ^{2} + 2 n - 8}{16 ( n + 3 )}

What is expand ((x-3)*(25*x-75))/2 ?
The solution to expand ((x-3)*(25*x-75))/2 is (25x^2)/2-75x+225/2