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}

(- 2 - 7 i) (- 2 + 7 i)

10 - 1

24 + 8

\frac{6}{2 + 2} - \frac{6}{2 - 2}

3 (2 x - 1)

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