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Popular >

simplify (3+sqrt(x))^2

Solution

simplify

(3 + x)^{2}

Solution

9 + 6 x + x

Solution steps

(3 + x)^{2}

Apply Perfect Square Formula:

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

(3 + x)^{2} = 3^{2} + 2 \cdot 3 x + (x)^{2}

= 3^{2} + 2 \cdot 3 x + (x)^{2}

3^{2} = 9

2 \cdot 3 x = 6 x

(x)^{2} = x

= 9 + 6 x + x

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Frequently Asked Questions (FAQ)

What is (3+sqrt(x))^2 ?
The solution to (3+sqrt(x))^2 is 9+6sqrt(x)+x