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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

1^{2} = 1

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

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

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

x - 2^{2}

(x - 3 y)^{2}

- \frac{1}{3} x (x - 2) (x - 8) (x - 14)

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

24 (\frac{4}{5} x - \frac{3}{5} y) (\frac{3}{5} x + \frac{4}{5} y)

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