What is expand-((3m-5)^2)/(2m) ?

The solution to expand-((3m-5)^2)/(2m) is -(9m)/2+15-(25)/(2m)

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expand-((3m-5)^2)/(2m)

expand

- \frac{( 3 m - 5 ) ^{2}}{2 m}

- \frac{9 m}{2} + 15 - \frac{25}{2 m}

Solution steps

- \frac{( 3 m - 5 ) ^{2}}{2 m}

(3 m - 5)^{2} = 9 m^{2} - 30 m + 25

= - \frac{9 m ^{2} - 30 m + 25}{2 m}

Apply the fraction rule:

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

\frac{9 m ^{2} - 30 m + 25}{2 m} = - (\frac{9 m ^{2}}{2 m}) - (- \frac{30 m}{2 m}) - (\frac{25}{2 m})

= - (\frac{9 m ^{2}}{2 m}) - (- \frac{30 m}{2 m}) - (\frac{25}{2 m})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{9 m ^{2}}{2 m} + \frac{30 m}{2 m} - \frac{25}{2 m}

Cancel

\frac{9 m ^{2}}{2 m} : \frac{9 m}{2}

= - \frac{9 m}{2} + \frac{30 m}{2 m} - \frac{25}{2 m}

Cancel

\frac{30 m}{2 m} : 15

= - \frac{9 m}{2} + 15 - \frac{25}{2 m}

3 - 4 (x + Δ x)

(y^{2} - x) d x

E (- 2, 4) y F (2, - 1)

a (1, x, - 1) + (3, 0, 0)

1 + e^{- 0.15 (x - 18)}

What is expand-((3m-5)^2)/(2m) ?
The solution to expand-((3m-5)^2)/(2m) is -(9m)/2+15-(25)/(2m)