What is (3+sqrt(x-4))^2 ?

The solution to (3+sqrt(x-4))^2 is x+6sqrt(x-4)+5

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simplify (3+sqrt(x-4))^2

simplify

(3 + x - 4)^{2}

x + 6 x - 4 + 5

Solution steps

(3 + x - 4)^{2}

Apply Perfect Square Formula:

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

(3 + x - 4)^{2} = 3^{2} + 2 \cdot 3 x - 4 + (x - 4)^{2}

= 3^{2} + 2 \cdot 3 x - 4 + (x - 4)^{2}

Simplify

3^{2} + 2 \cdot 3 x - 4 + (x - 4)^{2} : x + 6 x - 4 + 5

= x + 6 x - 4 + 5

\frac{6 ( - x + 3 )}{( x - 1 ) ^{3}}

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

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

x d x + (y + 1) d y

(x - 10) (x - \frac{1}{2})