What is expand (3(x-5)^2)/4 ?

The solution to expand (3(x-5)^2)/4 is (3x^2)/4-(15x)/2+75/4

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expand (3(x-5)^2)/4

expand

\frac{3 ( x - 5 ) ^{2}}{4}

\frac{3 x ^{2}}{4} - \frac{15 x}{2} + \frac{75}{4}

Solution steps

\frac{3 ( x - 5 ) ^{2}}{4}

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{3 ( x ^{2} - 10 x + 25 )}{4}

Expand

3 (x^{2} - 10 x + 25) : 3 x^{2} - 30 x + 75

= \frac{3 x ^{2} - 30 x + 75}{4}

Apply the fraction rule:

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

\frac{3 x ^{2} - 30 x + 75}{4} = \frac{3 x ^{2}}{4} - \frac{30 x}{4} + \frac{75}{4}

= \frac{3 x ^{2}}{4} - \frac{30 x}{4} + \frac{75}{4}

Cancel

\frac{30 x}{4} : \frac{15 x}{2}

= \frac{3 x ^{2}}{4} - \frac{15 x}{2} + \frac{75}{4}

\frac{x + 6}{( x - 3 ) ( x - 4 )}

\frac{4}{( s + 1 ) ( s + 3 ) s}

A (- 2, 2) y B (3, - 4)

\frac{f ( 14 + h ) - 14}{h}

e^{t} (- e^{- t} t - e^{- t} + C)

What is expand (3(x-5)^2)/4 ?
The solution to expand (3(x-5)^2)/4 is (3x^2)/4-(15x)/2+75/4