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Popular >

expand ((8x-3)^2)/(64)

Solution

expand

\frac{( 8 x - 3 ) ^{2}}{64}

Solution

x^{2} - \frac{3 x}{4} + \frac{9}{64}

Solution steps

\frac{( 8 x - 3 ) ^{2}}{64}

(8 x - 3)^{2} = 64 x^{2} - 48 x + 9

= \frac{64 x ^{2} - 48 x + 9}{64}

Apply the fraction rule:

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

\frac{64 x ^{2} - 48 x + 9}{64} = \frac{64 x ^{2}}{64} - \frac{48 x}{64} + \frac{9}{64}

= \frac{64 x ^{2}}{64} - \frac{48 x}{64} + \frac{9}{64}

Divide the numbers:

\frac{64}{64} = 1

= x^{2} - \frac{48 x}{64} + \frac{9}{64}

Cancel

\frac{48 x}{64} : \frac{3 x}{4}

= x^{2} - \frac{3 x}{4} + \frac{9}{64}

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Frequently Asked Questions (FAQ)

What is expand ((8x-3)^2)/(64) ?
The solution to expand ((8x-3)^2)/(64) is x^2-(3x)/4+9/64