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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 ab}{2 b} : a

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

Cancel

\frac{b ^{2}}{2 b} : \frac{b}{2}

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

936 \cdot 4

\frac{8 ( x + 1 )}{x ^{2}}

(e^{- x} - 1) (e^{- x} + 1)

e v a l u a t e (10 - 4 i) + (5 + i)

i (- 4, 5) j (- 4, - 3) k (5, - 8) l (5, 0)

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