What is expand ((40-3x)/4)^2 ?

The solution to expand ((40-3x)/4)^2 is (9x^2)/(16)-15x+100

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expand ((40-3x)/4)^2

expand

(\frac{40 - 3 x}{4})^{2}

\frac{9 x ^{2}}{16} - 15 x + 100

Solution steps

(\frac{40 - 3 x}{4})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 40 - 3 x ) ^{2}}{4 ^{2}}

(40 - 3 x)^{2} = 1600 - 240 x + 9 x^{2}

= \frac{1600 - 240 x + 9 x ^{2}}{4 ^{2}}

4^{2} = 16

= \frac{1600 - 240 x + 9 x ^{2}}{16}

Apply the fraction rule:

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

\frac{1600 - 240 x + 9 x ^{2}}{16} = \frac{1600}{16} - \frac{240 x}{16} + \frac{9 x ^{2}}{16}

= \frac{1600}{16} - \frac{240 x}{16} + \frac{9 x ^{2}}{16}

Divide the numbers:

\frac{1600}{16} = 100

= 100 - \frac{240 x}{16} + \frac{9 x ^{2}}{16}

Divide the numbers:

\frac{240}{16} = 15

= 100 - 15 x + \frac{9 x ^{2}}{16}

Rewrite in standard form

= \frac{9 x ^{2}}{16} - 15 x + 100

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What is expand ((40-3x)/4)^2 ?
The solution to expand ((40-3x)/4)^2 is (9x^2)/(16)-15x+100