What is (2-sqrt(x+8))^2 ?

The solution to (2-sqrt(x+8))^2 is x-4sqrt(x+8)+12

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simplify (2-sqrt(x+8))^2

simplify

(2 - x + 8)^{2}

x - 4 x + 8 + 12

Solution steps

(2 - x + 8)^{2}

Apply Perfect Square Formula:

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

(2 - x + 8)^{2} = 2^{2} - 2 \cdot 2 x + 8 + (x + 8)^{2}

= 2^{2} - 2 \cdot 2 x + 8 + (x + 8)^{2}

Simplify

2^{2} - 2 \cdot 2 x + 8 + (x + 8)^{2} : x - 4 x + 8 + 12

= x - 4 x + 8 + 12

\frac{( 1 + s ^{2} )}{s ^{2} ( s - 3 ) ^{2}}

(y cos (x) + 2 x e^{y}) d x

\frac{10 ( 59 + 4902 )}{49}

(x - 1) ln (5)

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