What is (sqrt(m)+sqrt(m-3))^2 ?

The solution to (sqrt(m)+sqrt(m-3))^2 is 2m+2sqrt(m)sqrt(m-3)-3

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simplify (sqrt(m)+sqrt(m-3))^2

simplify

(m + m - 3)^{2}

2 m + 2 m m - 3 - 3

Solution steps

(m + m - 3)^{2}

Apply Perfect Square Formula:

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

(m + m - 3)^{2} = (m)^{2} + 2 m m - 3 + (m - 3)^{2}

= (m)^{2} + 2 m m - 3 + (m - 3)^{2}

Simplify

(m)^{2} + 2 m m - 3 + (m - 3)^{2} : 2 m + 2 m m - 3 - 3

= 2 m + 2 m m - 3 - 3

\frac{2 ( - 3 x + 2 )}{3 x ^{3}}

4 x^{2} - x (8 + 9 x^{4} - 5 x)

(y^{2} - 3 y - x) d y

\frac{4}{n} (\frac{n ( n + 1 )}{2})

- 15 (x cos (θ) - y sin (θ))

What is (sqrt(m)+sqrt(m-3))^2 ?
The solution to (sqrt(m)+sqrt(m-3))^2 is 2m+2sqrt(m)sqrt(m-3)-3