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Popular >

expand (x^{1/2}+2)^2

Solution

expand

(x^{\frac{1}{2}} + 2)^{2}

Solution

x + 4 x^{\frac{1}{2}} + 4

Solution steps

(x^{\frac{1}{2}} + 2)^{2}

Apply Perfect Square Formula:

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

(x^{\frac{1}{2}} + 2)^{2} = (x^{\frac{1}{2}})^{2} + 2 x^{\frac{1}{2}} \cdot 2 + 2^{2}

= (x^{\frac{1}{2}})^{2} + 2 x^{\frac{1}{2}} \cdot 2 + 2^{2}

(x^{\frac{1}{2}})^{2} = x

2 x^{\frac{1}{2}} \cdot 2 = 4 x^{\frac{1}{2}}

2^{2} = 4

= x + 4 x^{\frac{1}{2}} + 4

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Frequently Asked Questions (FAQ)

What is expand (x^{1/2}+2)^2 ?
The solution to expand (x^{1/2}+2)^2 is x+4x^{1/2}+4