What is expand (4/3+(11x)/3)^3 ?

The solution to expand (4/3+(11x)/3)^3 is (64+1331x^3+528x+1452x^2)/(27)

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expand (4/3+(11x)/3)^3

expand

(\frac{4}{3} + \frac{11 x}{3})^{3}

\frac{64 + 1331 x ^{3} + 528 x + 1452 x ^{2}}{27}

Solution steps

(\frac{4}{3} + \frac{11 x}{3})^{3}

Apply Perfect Cube Formula:

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

(\frac{4}{3} + \frac{11 x}{3})^{3} = (\frac{4}{3})^{3} + 3 (\frac{4}{3})^{2} \frac{11 x}{3} + 3 \cdot \frac{4}{3} (\frac{11 x}{3})^{2} + (\frac{11 x}{3})^{3}

= (\frac{4}{3})^{3} + 3 (\frac{4}{3})^{2} \frac{11 x}{3} + 3 \cdot \frac{4}{3} (\frac{11 x}{3})^{2} + (\frac{11 x}{3})^{3}

Simplify

(\frac{4}{3})^{3} + 3 (\frac{4}{3})^{2} \frac{11 x}{3} + 3 \cdot \frac{4}{3} (\frac{11 x}{3})^{2} + (\frac{11 x}{3})^{3} : \frac{64 + 1331 x ^{3} + 528 x + 1452 x ^{2}}{27}

= \frac{64 + 1331 x ^{3} + 528 x + 1452 x ^{2}}{27}

(x - a)^{2}

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

(- 3, - 4) y (- 2, - 8)

lo g_{2} (8.5)

(y 2 - 7) (y 2 + 7)

What is expand (4/3+(11x)/3)^3 ?
The solution to expand (4/3+(11x)/3)^3 is (64+1331x^3+528x+1452x^2)/(27)