What is expand ((a-b)^2)/4 ?

The solution to expand ((a-b)^2)/4 is (a^2)/4-(ab)/2+(b^2)/4

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expand ((a-b)^2)/4

expand

\frac{( a - b ) ^{2}}{4}

\frac{a ^{2}}{4} - \frac{ab}{2} + \frac{b ^{2}}{4}

Solution steps

\frac{( a - b ) ^{2}}{4}

(a - b)^{2} = a^{2} - 2 ab + b^{2}

= \frac{a ^{2} - 2 ab + b ^{2}}{4}

Apply the fraction rule:

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

\frac{a ^{2} - 2 ab + b ^{2}}{4} = \frac{a ^{2}}{4} - \frac{2 ab}{4} + \frac{b ^{2}}{4}

= \frac{a ^{2}}{4} - \frac{2 ab}{4} + \frac{b ^{2}}{4}

Cancel

\frac{2 ab}{4} : \frac{ab}{2}

= \frac{a ^{2}}{4} - \frac{ab}{2} + \frac{b ^{2}}{4}

\frac{d ( y + 12 )}{y}

z (x^{2} - x y + y^{2})^{4}

\frac{y ( y + 5 )}{2 y - 3}

(1 - x) \cdot e^{x}

\frac{1 - x}{z ( 5 - x )}

What is expand ((a-b)^2)/4 ?
The solution to expand ((a-b)^2)/4 is (a^2)/4-(ab)/2+(b^2)/4