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

The solution to expand (-2/3 x+2)^3 is (-8x^3+72x^2-216x+216)/(27)

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expand (-2/3 x+2)^3

expand

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

\frac{- 8 x ^{3} + 72 x ^{2} - 216 x + 216}{27}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(- \frac{2}{3} x)^{3} + 3 (- \frac{2}{3} x)^{2} \cdot 2 + 3 (- \frac{2}{3} x) \cdot 2^{2} + 2^{3} : \frac{- 8 x ^{3} + 72 x ^{2} - 216 x + 216}{27}

= \frac{- 8 x ^{3} + 72 x ^{2} - 216 x + 216}{27}

5 cos (u) \cdot (2 - sin (u))

3 (lo g_{4} (x) + 1)

\frac{k ^{7} + 3}{2 k ^{4}}

(1 + 21 t)^{2} + (1 + 21 t)^{2}

A (5, - 6) B (- 7, 2)

What is expand (-2/3 x+2)^3 ?
The solution to expand (-2/3 x+2)^3 is (-8x^3+72x^2-216x+216)/(27)