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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

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

Cancel

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

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

Cancel

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

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

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Frequently Asked Questions (FAQ)

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