What is expand (3xy+4)^3 ?

The solution to expand (3xy+4)^3 is 27x^3y^3+108x^2y^2+144xy+64

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expand (3xy+4)^3

expand

(3 x y + 4)^{3}

27 x^{3} y^{3} + 108 x^{2} y^{2} + 144 x y + 64

Solution steps

(3 x y + 4)^{3}

Apply Perfect Cube Formula:

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

(3 x y + 4)^{3} = (3 x y)^{3} + 3 (3 x y)^{2} \cdot 4 + 3 \cdot 3 x y \cdot 4^{2} + 4^{3}

= (3 x y)^{3} + 3 (3 x y)^{2} \cdot 4 + 3 \cdot 3 x y \cdot 4^{2} + 4^{3}

Simplify

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

= 27 x^{3} y^{3} + 108 x^{2} y^{2} + 144 x y + 64

(a - 7) (a + 7)

y + cos (y^{'} (t)) - 0

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

(4^{\frac{m + 1}{4}} \cdot 2 2^{m} 2 2^{- m})^{1} m

a (- 3.7) e b (0.4)

What is expand (3xy+4)^3 ?
The solution to expand (3xy+4)^3 is 27x^3y^3+108x^2y^2+144xy+64