What is expand (2a+9b)^3 ?

The solution to expand (2a+9b)^3 is 8a^3+108a^2b+486ab^2+729b^3

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expand (2a+9b)^3

expand

(2 a + 9 b)^{3}

8 a^{3} + 108 a^{2} b + 486 a b^{2} + 729 b^{3}

Solution steps

(2 a + 9 b)^{3}

Apply Perfect Cube Formula:

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

(2 a + 9 b)^{3} = (2 a)^{3} + 3 (2 a)^{2} \cdot 9 b + 3 \cdot 2 a (9 b)^{2} + (9 b)^{3}

= (2 a)^{3} + 3 (2 a)^{2} \cdot 9 b + 3 \cdot 2 a (9 b)^{2} + (9 b)^{3}

Simplify

(2 a)^{3} + 3 (2 a)^{2} \cdot 9 b + 3 \cdot 2 a (9 b)^{2} + (9 b)^{3} : 8 a^{3} + 108 a^{2} b + 486 a b^{2} + 729 b^{3}

= 8 a^{3} + 108 a^{2} b + 486 a b^{2} + 729 b^{3}

18 x - 6 x + 2 x

x^{\frac{1}{1}}

2 \frac{9}{10}

x^{6} - 64 y^{6}

x^{n} x^{m}

What is expand (2a+9b)^3 ?
The solution to expand (2a+9b)^3 is 8a^3+108a^2b+486ab^2+729b^3