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

The solution to expand x^{4/5}(x-9)^2 is x^{14/5}-18x^{9/5}+x^{4/5}*81

Popular >

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

expand

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

x^{\frac{14}{5}} - 18 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 81

Solution steps

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

Expand

(x - 9)^{2} : x^{2} - 18 x + 81

= x^{\frac{4}{5}} (x^{2} - 18 x + 81)

Apply the distributive law:

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

x^{\frac{4}{5}} (x^{2} - 18 x + 81) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 18 x) + x^{\frac{4}{5}} \cdot 81

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 18 x) + x^{\frac{4}{5}} \cdot 81

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

x^{\frac{4}{5}} (- 18 x) = - 18 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 18 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 81

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

A (1, 3) y B (- 2, - 7)

\frac{x}{( x + 2 ) ( x - 3 )}

(2 x + 1) (2 x + 1)

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

What is expand x^{4/5}(x-9)^2 ?
The solution to expand x^{4/5}(x-9)^2 is x^{14/5}-18x^{9/5}+x^{4/5}*81