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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{16}{16} = 1

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

Cancel

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

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

Rewrite in standard form

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

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