What is expand (6a^3+b^3)^3 ?

The solution to expand (6a^3+b^3)^3 is 216a^9+108a^6b^3+18a^3b^6+b^9

Popular >

expand (6a^3+b^3)^3

expand

(6 a^{3} + b^{3})^{3}

216 a^{9} + 108 a^{6} b^{3} + 18 a^{3} b^{6} + b^{9}

Solution steps

(6 a^{3} + b^{3})^{3}

Apply Perfect Cube Formula:

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

(6 a^{3} + b^{3})^{3} = (6 a^{3})^{3} + 3 (6 a^{3})^{2} b^{3} + 3 \cdot 6 a^{3} (b^{3})^{2} + (b^{3})^{3}

= (6 a^{3})^{3} + 3 (6 a^{3})^{2} b^{3} + 3 \cdot 6 a^{3} (b^{3})^{2} + (b^{3})^{3}

Simplify

(6 a^{3})^{3} + 3 (6 a^{3})^{2} b^{3} + 3 \cdot 6 a^{3} (b^{3})^{2} + (b^{3})^{3} : 216 a^{9} + 108 a^{6} b^{3} + 18 a^{3} b^{6} + b^{9}

= 216 a^{9} + 108 a^{6} b^{3} + 18 a^{3} b^{6} + b^{9}

(m^{3} \cdot n)^{7} \cdot (n^{5})^{3} \cdot m^{5}

\frac{2 tan ( x )}{( 1 + tan ^{2} ( x ) )}

\frac{x ^{3}}{64} - \frac{64}{x ^{3}}

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

a \cdot - x \cdot 7

What is expand (6a^3+b^3)^3 ?
The solution to expand (6a^3+b^3)^3 is 216a^9+108a^6b^3+18a^3b^6+b^9