What is expand (x^{9/5}-4x^{4/5})^2 ?

The solution to expand (x^{9/5}-4x^{4/5})^2 is x^{18/5}-8x^{13/5}+16x^{8/5}

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expand (x^{9/5}-4x^{4/5})^2

expand

(x^{\frac{9}{5}} - 4 x^{\frac{4}{5}})^{2}

x^{\frac{18}{5}} - 8 x^{\frac{13}{5}} + 16 x^{\frac{8}{5}}

Solution steps

(x^{\frac{9}{5}} - 4 x^{\frac{4}{5}})^{2}

Apply Perfect Square Formula:

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

(x^{\frac{9}{5}} - 4 x^{\frac{4}{5}})^{2} = (x^{\frac{9}{5}})^{2} - 2 x^{\frac{9}{5}} \cdot 4 x^{\frac{4}{5}} + (4 x^{\frac{4}{5}})^{2}

= (x^{\frac{9}{5}})^{2} - 2 x^{\frac{9}{5}} \cdot 4 x^{\frac{4}{5}} + (4 x^{\frac{4}{5}})^{2}

(x^{\frac{9}{5}})^{2} = x^{\frac{18}{5}}

2 x^{\frac{9}{5}} \cdot 4 x^{\frac{4}{5}} = 8 x^{\frac{13}{5}}

(4 x^{\frac{4}{5}})^{2} = 16 x^{\frac{8}{5}}

= x^{\frac{18}{5}} - 8 x^{\frac{13}{5}} + 16 x^{\frac{8}{5}}

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What is expand (x^{9/5}-4x^{4/5})^2 ?
The solution to expand (x^{9/5}-4x^{4/5})^2 is x^{18/5}-8x^{13/5}+16x^{8/5}