What is expand (2-1/3 x)^3 ?

The solution to expand (2-1/3 x)^3 is (216-108x+18x^2-x^3)/(27)

Popular >

expand (2-1/3 x)^3

expand

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

\frac{216 - 108 x + 18 x ^{2} - x ^{3}}{27}

Solution steps

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

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

2^{3} - 3 \cdot 2^{2} \cdot \frac{1}{3} x + 3 \cdot 2 (\frac{1}{3} x)^{2} - (\frac{1}{3} x)^{3} : \frac{216 - 108 x + 18 x ^{2} - x ^{3}}{27}

= \frac{216 - 108 x + 18 x ^{2} - x ^{3}}{27}

x y^{3} d x + (y + 1) e^{- x} d y

\frac{( s + 3 )}{( s + 2 ) ( s + 4 ) ( s + 5 )}

\frac{5}{( s + 2 ) ( s ^{2} + 25 )}

\frac{( 7 x ^{2} + 5 x + 7 )}{( x - 2 ) ( x ^{2} + 2 x + 1 )}

(t - \frac{1}{2}) (t - \frac{3}{4})

What is expand (2-1/3 x)^3 ?
The solution to expand (2-1/3 x)^3 is (216-108x+18x^2-x^3)/(27)