What is expand ((5x-8)^2)/(16) ?

The solution to expand ((5x-8)^2)/(16) is (25x^2)/(16)-5x+4

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expand ((5x-8)^2)/(16)

expand

\frac{( 5 x - 8 ) ^{2}}{16}

\frac{25 x ^{2}}{16} - 5 x + 4

Solution steps

\frac{( 5 x - 8 ) ^{2}}{16}

(5 x - 8)^{2} = 25 x^{2} - 80 x + 64

= \frac{25 x ^{2} - 80 x + 64}{16}

Apply the fraction rule:

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

\frac{25 x ^{2} - 80 x + 64}{16} = \frac{25 x ^{2}}{16} - \frac{80 x}{16} + \frac{64}{16}

= \frac{25 x ^{2}}{16} - \frac{80 x}{16} + \frac{64}{16}

Divide the numbers:

\frac{80}{16} = 5

= \frac{25 x ^{2}}{16} - 5 x + \frac{64}{16}

Divide the numbers:

\frac{64}{16} = 4

= \frac{25 x ^{2}}{16} - 5 x + 4

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What is expand ((5x-8)^2)/(16) ?
The solution to expand ((5x-8)^2)/(16) is (25x^2)/(16)-5x+4