What is expand (s^{1/2}-t^{1/2})^2 ?

The solution to expand (s^{1/2}-t^{1/2})^2 is s-2s^{1/2}t^{1/2}+t

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expand (s^{1/2}-t^{1/2})^2

expand

(s^{\frac{1}{2}} - t^{\frac{1}{2}})^{2}

s - 2 s^{\frac{1}{2}} t^{\frac{1}{2}} + t

Solution steps

(s^{\frac{1}{2}} - t^{\frac{1}{2}})^{2}

Apply Perfect Square Formula:

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

(s^{\frac{1}{2}} - t^{\frac{1}{2}})^{2} = (s^{\frac{1}{2}})^{2} - 2 s^{\frac{1}{2}} t^{\frac{1}{2}} + (t^{\frac{1}{2}})^{2}

= (s^{\frac{1}{2}})^{2} - 2 s^{\frac{1}{2}} t^{\frac{1}{2}} + (t^{\frac{1}{2}})^{2}

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

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

= s - 2 s^{\frac{1}{2}} t^{\frac{1}{2}} + t

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