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Popular >

expand (4-x^{1/2})^2

Solution

expand

(4 - x^{\frac{1}{2}})^{2}

Solution

16 - 8 x^{\frac{1}{2}} + x

Solution steps

(4 - x^{\frac{1}{2}})^{2}

Apply Perfect Square Formula:

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

(4 - x^{\frac{1}{2}})^{2} = 4^{2} - 2 \cdot 4 x^{\frac{1}{2}} + (x^{\frac{1}{2}})^{2}

= 4^{2} - 2 \cdot 4 x^{\frac{1}{2}} + (x^{\frac{1}{2}})^{2}

4^{2} = 16

2 \cdot 4 x^{\frac{1}{2}} = 8 x^{\frac{1}{2}}

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

= 16 - 8 x^{\frac{1}{2}} + x

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Frequently Asked Questions (FAQ)

What is expand (4-x^{1/2})^2 ?
The solution to expand (4-x^{1/2})^2 is 16-8x^{1/2}+x