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

The solution to expand ((40-x)/2)^2 is (x^2)/4-20x+400

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

expand

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

\frac{x ^{2}}{4} - 20 x + 400

Solution steps

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

Apply exponent rule:

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

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

(40 - x)^{2} = 1600 - 80 x + x^{2}

= \frac{1600 - 80 x + x ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{1600 - 80 x + x ^{2}}{4}

Apply the fraction rule:

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

\frac{1600 - 80 x + x ^{2}}{4} = \frac{1600}{4} - \frac{80 x}{4} + \frac{x ^{2}}{4}

= \frac{1600}{4} - \frac{80 x}{4} + \frac{x ^{2}}{4}

Divide the numbers:

\frac{1600}{4} = 400

= 400 - \frac{80 x}{4} + \frac{x ^{2}}{4}

Divide the numbers:

\frac{80}{4} = 20

= 400 - 20 x + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} - 20 x + 400

(x - 4) + (2 x - 2)

(x y - 2 x + 4 y - 8) d y

, (x + 2)

4 a^{2 (1)} - 4

\frac{( 3 x + 2 y ) ( 2 x + 1 )}{( x + 3 )}

What is expand ((40-x)/2)^2 ?
The solution to expand ((40-x)/2)^2 is (x^2)/4-20x+400