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

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

Simplify

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

25 6^{2}

\frac{lo g _{7} ( 8 )}{lo g _{49} ( 4 )}

x^{2} - 2 x - 528

t^{0}

- 1 + 10

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