What is expand (4x^2-3y)^3 ?

The solution to expand (4x^2-3y)^3 is 64x^6-144x^4y+108x^2y^2-27y^3

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expand (4x^2-3y)^3

expand

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

64 x^{6} - 144 x^{4} y + 108 x^{2} y^{2} - 27 y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 x^{2})^{3} - 3 (4 x^{2})^{2} \cdot 3 y + 3 \cdot 4 x^{2} (3 y)^{2} - (3 y)^{3} : 64 x^{6} - 144 x^{4} y + 108 x^{2} y^{2} - 27 y^{3}

= 64 x^{6} - 144 x^{4} y + 108 x^{2} y^{2} - 27 y^{3}

x^{3} + 2 x^{2} + 6 x + 5

\frac{5 x ^{- 2} y ^{- 3}}{z ^{- 4}}

60 + 560

- 6 x + 7 x

5 b + 7 - 9 b + 3

What is expand (4x^2-3y)^3 ?
The solution to expand (4x^2-3y)^3 is 64x^6-144x^4y+108x^2y^2-27y^3