What is (-sqrt(x+5)+4)^2 ?

The solution to (-sqrt(x+5)+4)^2 is x-8sqrt(x+5)+21

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simplify (-sqrt(x+5)+4)^2

simplify

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

x - 8 x + 5 + 21

Solution steps

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

Apply Perfect Square Formula:

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

(- x + 5 + 4)^{2} = (- x + 5)^{2} + 2 (- x + 5) \cdot 4 + 4^{2}

= (- x + 5)^{2} + 2 (- x + 5) \cdot 4 + 4^{2}

Simplify

(- x + 5)^{2} + 2 (- x + 5) \cdot 4 + 4^{2} : x - 8 x + 5 + 21

= x - 8 x + 5 + 21

(z + 20 i)^{2}

x + 5 \cdot (x + 5 - x - 5)

(x^{3} - (\frac{1}{x ^{2}}))^{5}

(z - \frac{1}{6}) (z + \frac{1}{6})

\frac{22}{( x - 1 ) ( x + 1 )}