What is expand (75(x-8)^2)/2 ?

The solution to expand (75(x-8)^2)/2 is (75x^2)/2-600x+2400

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expand (75(x-8)^2)/2

expand

\frac{75 ( x - 8 ) ^{2}}{2}

\frac{75 x ^{2}}{2} - 600 x + 2400

Solution steps

\frac{75 ( x - 8 ) ^{2}}{2}

(x - 8)^{2} = x^{2} - 16 x + 64

= \frac{75 ( x ^{2} - 16 x + 64 )}{2}

Expand

75 (x^{2} - 16 x + 64) : 75 x^{2} - 1200 x + 4800

= \frac{75 x ^{2} - 1200 x + 4800}{2}

Apply the fraction rule:

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

\frac{75 x ^{2} - 1200 x + 4800}{2} = \frac{75 x ^{2}}{2} - \frac{1200 x}{2} + \frac{4800}{2}

= \frac{75 x ^{2}}{2} - \frac{1200 x}{2} + \frac{4800}{2}

Divide the numbers:

\frac{1200}{2} = 600

= \frac{75 x ^{2}}{2} - 600 x + \frac{4800}{2}

Divide the numbers:

\frac{4800}{2} = 2400

= \frac{75 x ^{2}}{2} - 600 x + 2400

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What is expand (75(x-8)^2)/2 ?
The solution to expand (75(x-8)^2)/2 is (75x^2)/2-600x+2400