What is expand (4/3-x)^3 ?

The solution to expand (4/3-x)^3 is (64-144x+108x^2-27x^3)/(27)

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expand (4/3-x)^3

expand

(\frac{4}{3} - x)^{3}

\frac{64 - 144 x + 108 x ^{2} - 27 x ^{3}}{27}

Solution steps

(\frac{4}{3} - x)^{3}

Apply Perfect Cube Formula:

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

(\frac{4}{3} - x)^{3} = (\frac{4}{3})^{3} - 3 (\frac{4}{3})^{2} x + 3 \cdot \frac{4}{3} x^{2} - x^{3}

= (\frac{4}{3})^{3} - 3 (\frac{4}{3})^{2} x + 3 \cdot \frac{4}{3} x^{2} - x^{3}

Simplify

(\frac{4}{3})^{3} - 3 (\frac{4}{3})^{2} x + 3 \cdot \frac{4}{3} x^{2} - x^{3} : \frac{64 - 144 x + 108 x ^{2} - 27 x ^{3}}{27}

= \frac{64 - 144 x + 108 x ^{2} - 27 x ^{3}}{27}

(y^{2} + 2 x y) d x - x^{2} d y

i (x + i y)^{2}

(v + 2)^{4}

(sin (x) - cos (x))^{3}

(4 - x + 5)^{2}

What is expand (4/3-x)^3 ?
The solution to expand (4/3-x)^3 is (64-144x+108x^2-27x^3)/(27)