What is expand ((x-4)^2)/(16) ?

The solution to expand ((x-4)^2)/(16) is (x^2)/(16)-x/2+1

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expand ((x-4)^2)/(16)

expand

\frac{( x - 4 ) ^{2}}{16}

\frac{x ^{2}}{16} - \frac{x}{2} + 1

Solution steps

\frac{( x - 4 ) ^{2}}{16}

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{x ^{2} - 8 x + 16}{16}

Apply the fraction rule:

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

\frac{x ^{2} - 8 x + 16}{16} = \frac{x ^{2}}{16} - \frac{8 x}{16} + \frac{16}{16}

= \frac{x ^{2}}{16} - \frac{8 x}{16} + \frac{16}{16}

Apply rule

\frac{a}{a} = 1

\frac{16}{16} = 1

= \frac{x ^{2}}{16} - \frac{8 x}{16} + 1

Cancel

\frac{8 x}{16} : \frac{x}{2}

= \frac{x ^{2}}{16} - \frac{x}{2} + 1

\frac{1}{( T s + s ) s}

\frac{1}{( x - 7 ) ( x - 2 )}

ln (x) \cdot (x^{2} + 2 x - 4)

\frac{3 n + 5}{7}

(ab)^{2} - c^{2}

What is expand ((x-4)^2)/(16) ?
The solution to expand ((x-4)^2)/(16) is (x^2)/(16)-x/2+1