What is expand (4a+9b)^3 ?

The solution to expand (4a+9b)^3 is 64a^3+432a^2b+972ab^2+729b^3

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expand (4a+9b)^3

expand

(4 a + 9 b)^{3}

64 a^{3} + 432 a^{2} b + 972 a b^{2} + 729 b^{3}

Solution steps

(4 a + 9 b)^{3}

Apply Perfect Cube Formula:

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

(4 a + 9 b)^{3} = (4 a)^{3} + 3 (4 a)^{2} \cdot 9 b + 3 \cdot 4 a (9 b)^{2} + (9 b)^{3}

= (4 a)^{3} + 3 (4 a)^{2} \cdot 9 b + 3 \cdot 4 a (9 b)^{2} + (9 b)^{3}

Simplify

(4 a)^{3} + 3 (4 a)^{2} \cdot 9 b + 3 \cdot 4 a (9 b)^{2} + (9 b)^{3} : 64 a^{3} + 432 a^{2} b + 972 a b^{2} + 729 b^{3}

= 64 a^{3} + 432 a^{2} b + 972 a b^{2} + 729 b^{3}

(- 2 m^{2} \cdot n^{- 3} \cdot p^{4})^{5}

- \frac{1}{4} \cdot \frac{180}{x}

\frac{1}{x ^{4}} + y^{2}

\frac{1 2 ^{3 m}}{( 2 ^{3 m} ) \cdot 9 ^{- 2 m}}

8 (x + y)^{3} - 50 (x + y)

What is expand (4a+9b)^3 ?
The solution to expand (4a+9b)^3 is 64a^3+432a^2b+972ab^2+729b^3