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Popular >

simplify (sqrt(x)+4)^2

Solution

simplify

(x + 4)^{2}

Solution

x + 8 x + 16

Solution steps

(x + 4)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

2 x \cdot 4 = 8 x

4^{2} = 16

= x + 8 x + 16

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Frequently Asked Questions (FAQ)

What is (sqrt(x)+4)^2 ?
The solution to (sqrt(x)+4)^2 is x+8sqrt(x)+16