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

The solution to expand (3a+4b)^3 is 27a^3+108a^2b+144ab^2+64b^3

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expand (3a+4b)^3

expand

(3 a + 4 b)^{3}

27 a^{3} + 108 a^{2} b + 144 a b^{2} + 64 b^{3}

Solution steps

(3 a + 4 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 a)^{3} + 3 (3 a)^{2} \cdot 4 b + 3 \cdot 3 a (4 b)^{2} + (4 b)^{3} : 27 a^{3} + 108 a^{2} b + 144 a b^{2} + 64 b^{3}

= 27 a^{3} + 108 a^{2} b + 144 a b^{2} + 64 b^{3}

\frac{( 2 x ^{3} - 4 x - 2 )}{( 2 x + 2 )}

\frac{4}{3} \cdot 3.14 \cdot 7^{3}

+ 5 - 3

e^{x} \cdot (- e^{x})

\frac{1}{1 - x} - \frac{2}{1 - x ^{2}}

What is expand (3a+4b)^3 ?
The solution to expand (3a+4b)^3 is 27a^3+108a^2b+144ab^2+64b^3