What is expand (4x+3y)^3 ?

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

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expand (4x+3y)^3

expand

(4 x + 3 y)^{3}

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

Solution steps

(4 x + 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

\frac{4}{3} - \frac{4}{5}

12 + (- 4)

3 (x + \frac{1}{x})

a (n + 1) - b (n + 1) - n - 1

3 cos (x) + 3 sin (x) tan (x)

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