What is expand (10x-8y)^3 ?

The solution to expand (10x-8y)^3 is 1000x^3-2400x^2y+1920xy^2-512y^3

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expand (10x-8y)^3

expand

(10 x - 8 y)^{3}

1000 x^{3} - 2400 x^{2} y + 1920 x y^{2} - 512 y^{3}

Solution steps

(10 x - 8 y)^{3}

Apply Perfect Cube Formula:

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

(10 x - 8 y)^{3} = (10 x)^{3} - 3 (10 x)^{2} \cdot 8 y + 3 \cdot 10 x (8 y)^{2} - (8 y)^{3}

= (10 x)^{3} - 3 (10 x)^{2} \cdot 8 y + 3 \cdot 10 x (8 y)^{2} - (8 y)^{3}

Simplify

(10 x)^{3} - 3 (10 x)^{2} \cdot 8 y + 3 \cdot 10 x (8 y)^{2} - (8 y)^{3} : 1000 x^{3} - 2400 x^{2} y + 1920 x y^{2} - 512 y^{3}

= 1000 x^{3} - 2400 x^{2} y + 1920 x y^{2} - 512 y^{3}

2 x^{3} + 11 x^{2} + 2 x - 4

(2 + 3 x)^{6}

(3 x + 4 y + 5 z)^{2}

\frac{a ^{2} - 25}{a - 5}

48 a^{4} + 108 a^{2} b^{2} + 243 b^{2}

What is expand (10x-8y)^3 ?
The solution to expand (10x-8y)^3 is 1000x^3-2400x^2y+1920xy^2-512y^3