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

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

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

expand

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

\frac{x ^{2}}{2} - 4 x + 8

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{16}{2} = 8

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

Divide the numbers:

\frac{8}{2} = 4

= 8 - 4 x + \frac{x ^{2}}{2}

Rewrite in standard form

= \frac{x ^{2}}{2} - 4 x + 8

10 (\frac{x ^{2}}{36100})

A (- 3, - 1) B (5, 2)

- \frac{( 6 x - 5 ) ( x - 6 )}{x - 5}

\frac{6 s - 6}{( s ^{2} - 2 s + 10 ) ^{2}}

(x^{2} - \frac{2}{x ^{3}})^{5}