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

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

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

simplify

(x - 8 + 2)^{2}

x + 4 x - 8 - 4

Solution steps

(x - 8 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x + 4 x - 8 - 4

l a pl (s^{2} + 2 s + 2)

(2 + 5)^{4}

D x [(2 x - 9)^{2} (x^{3} + 4 x - 5)^{3}]

(4, - 1, 2) l e f t (- \frac{6}{7}, - \frac{2}{7}, \frac{11}{7})

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