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

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

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expand (4a+3b)^3

expand

(4 a + 3 b)^{3}

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

Solution steps

(4 a + 3 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

10 a^{4} - b^{4}

6 x^{3} - 9 x^{2} y - 6 x^{2} y^{2}

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

54 x^{3} - 2 y^{3}

(\frac{- 2}{3 x ^{3} - 1})^{2}

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