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

The solution to expand x^{4/5}(x-5)^2 is x^{14/5}-10x^{9/5}+x^{4/5}*25

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

expand

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

x^{\frac{14}{5}} - 10 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 25

Solution steps

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

Expand

(x - 5)^{2} : x^{2} - 10 x + 25

= x^{\frac{4}{5}} (x^{2} - 10 x + 25)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x^{\frac{4}{5}} (x^{2} - 10 x + 25) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 10 x) + x^{\frac{4}{5}} \cdot 25

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 10 x) + x^{\frac{4}{5}} \cdot 25

x^{\frac{4}{5}} x^{2} = x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 10 x) = - 10 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 10 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 25

(t - p)^{2} cos^{2} (p) d p

\frac{2 ( x + 5 ) ( - x ^{2} - 10 x + 2 )}{( x ^{2} + 2 ) ^{3}}

\frac{( 1 - x ^{2} ) ^{3}}{3}

(4 x + 4)^{2}

(- cot (x) csc (x)) (2 csc (x) - 1)

What is expand x^{4/5}(x-5)^2 ?
The solution to expand x^{4/5}(x-5)^2 is x^{14/5}-10x^{9/5}+x^{4/5}*25