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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

1^{2} = 1

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

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

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

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Frequently Asked Questions (FAQ)

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