What is expand (x+1/3)^3*(x+2/9)^2 ?

The solution to expand (x+1/3)^3*(x+2/9)^2 is ((81x^2+36x+4)(27x^3+27x^2+9x+1))/(2187)

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expand (x+1/3)^3*(x+2/9)^2

expand

(x + \frac{1}{3})^{3} \cdot (x + \frac{2}{9})^{2}

\frac{( 81 x ^{2} + 36 x + 4 ) ( 27 x ^{3} + 27 x ^{2} + 9 x + 1 )}{2187}

Solution steps

(x + \frac{1}{3})^{3} (x + \frac{2}{9})^{2}

Expand

(x + \frac{2}{9})^{2} : \frac{81 x ^{2} + 36 x + 4}{81}

= (x + \frac{1}{3})^{3} \frac{81 x ^{2} + 36 x + 4}{81}

= \frac{81 x ^{2} + 36 x + 4}{81} (x + \frac{1}{3})^{3}

Expand

(x + \frac{1}{3})^{3} : \frac{27 x ^{3} + 27 x ^{2} + 9 x + 1}{27}

= \frac{81 x ^{2} + 36 x + 4}{81} \cdot \frac{27 x ^{3} + 27 x ^{2} + 9 x + 1}{27}

Simplify

\frac{81 x ^{2} + 36 x + 4}{81} \cdot \frac{27 x ^{3} + 27 x ^{2} + 9 x + 1}{27} : \frac{( 81 x ^{2} + 36 x + 4 ) ( 27 x ^{3} + 27 x ^{2} + 9 x + 1 )}{2187}

= \frac{( 81 x ^{2} + 36 x + 4 ) ( 27 x ^{3} + 27 x ^{2} + 9 x + 1 )}{2187}

\frac{( x + 2 ) ^{4}}{4}

\frac{727 ( - x + 3 )}{114}

96 (s + s^{'})^{10}

x \cdot (0.2 sin (0.3 t) + 0.6 cos (0.3 t))

- \frac{6 ln ( 7 )}{35 ( 1 - e ^{\frac{l n ( 7 )}{35}} )}

What is expand (x+1/3)^3*(x+2/9)^2 ?
The solution to expand (x+1/3)^3*(x+2/9)^2 is ((81x^2+36x+4)(27x^3+27x^2+9x+1))/(2187)