What is expand (6-2x^{1/2})^2 ?

The solution to expand (6-2x^{1/2})^2 is 36-24x^{1/2}+4x

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expand (6-2x^{1/2})^2

expand

(6 - 2 x^{\frac{1}{2}})^{2}

36 - 24 x^{\frac{1}{2}} + 4 x

Solution steps

(6 - 2 x^{\frac{1}{2}})^{2}

Apply Perfect Square Formula:

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

(6 - 2 x^{\frac{1}{2}})^{2} = 6^{2} - 2 \cdot 6 \cdot 2 x^{\frac{1}{2}} + (2 x^{\frac{1}{2}})^{2}

= 6^{2} - 2 \cdot 6 \cdot 2 x^{\frac{1}{2}} + (2 x^{\frac{1}{2}})^{2}

6^{2} = 36

2 \cdot 6 \cdot 2 x^{\frac{1}{2}} = 24 x^{\frac{1}{2}}

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

= 36 - 24 x^{\frac{1}{2}} + 4 x

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e^{x} (3 cos (3 x) + 9 sin (3 x))

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What is expand (6-2x^{1/2})^2 ?
The solution to expand (6-2x^{1/2})^2 is 36-24x^{1/2}+4x