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

The solution to (sqrt(x)+8)^2 is x+16sqrt(x)+64

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simplify (sqrt(x)+8)^2

simplify

(x + 8)^{2}

x + 16 x + 64

Solution steps

(x + 8)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

2 x \cdot 8 = 16 x

8^{2} = 64

= x + 16 x + 64

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