What is expand ((3b+2a)^2)/(6ab) ?

The solution to expand ((3b+2a)^2)/(6ab) is (3b)/(2a)+2+(2a)/(3b)

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expand ((3b+2a)^2)/(6ab)

expand

\frac{( 3 b + 2 a ) ^{2}}{6 ab}

\frac{3 b}{2 a} + 2 + \frac{2 a}{3 b}

Solution steps

\frac{( 3 b + 2 a ) ^{2}}{6 ab}

(3 b + 2 a)^{2} = 9 b^{2} + 12 ba + 4 a^{2}

= \frac{9 b ^{2} + 12 ba + 4 a ^{2}}{6 ba}

Apply the fraction rule:

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

\frac{9 b ^{2} + 12 ba + 4 a ^{2}}{6 ab} = \frac{9 b ^{2}}{6 ab} + \frac{12 ba}{6 ab} + \frac{4 a ^{2}}{6 ab}

= \frac{9 b ^{2}}{6 ba} + \frac{12 ba}{6 ba} + \frac{4 a ^{2}}{6 ba}

Cancel

\frac{9 b ^{2}}{6 ab} : \frac{3 b}{2 a}

= \frac{3 b}{2 a} + \frac{12 ba}{6 ba} + \frac{4 a ^{2}}{6 ba}

Cancel

\frac{12 ba}{6 ab} : 2

= \frac{3 b}{2 a} + 2 + \frac{4 a ^{2}}{6 ba}

Cancel

\frac{4 a ^{2}}{6 ab} : \frac{2 a}{3 b}

= \frac{3 b}{2 a} + 2 + \frac{2 a}{3 b}

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

(y - x) e^{\frac{y}{x} + 1}

\frac{4}{( x + 8 ) ^{2}}

\frac{e ^{- 5 s}}{( - 4 + s ) s}

Lu (t - 1)

What is expand ((3b+2a)^2)/(6ab) ?
The solution to expand ((3b+2a)^2)/(6ab) is (3b)/(2a)+2+(2a)/(3b)