What is (5-sqrt(x+6))^2 ?

The solution to (5-sqrt(x+6))^2 is x-10sqrt(x+6)+31

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simplify (5-sqrt(x+6))^2

simplify

(5 - x + 6)^{2}

x - 10 x + 6 + 31

Solution steps

(5 - x + 6)^{2}

Apply Perfect Square Formula:

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

(5 - x + 6)^{2} = 5^{2} - 2 \cdot 5 x + 6 + (x + 6)^{2}

= 5^{2} - 2 \cdot 5 x + 6 + (x + 6)^{2}

Simplify

5^{2} - 2 \cdot 5 x + 6 + (x + 6)^{2} : x - 10 x + 6 + 31

= x - 10 x + 6 + 31

a (2, 8) y b (- 4, - 6)

\frac{2 ( x + Δ ) - 3}{x + Δ + 5}

\frac{( x - 3 ) ( x + 2 )}{( x + 3 ) ( x - 4 )}

\frac{1 - e ^{- s}}{s ^{2} ( s ^{2} + 4 )}

9 (x + 3 = 4 x - 3)