What is expand 250(a-b)^3+2 ?

The solution to expand 250(a-b)^3+2 is 250a^3-750a^2b+750ab^2-250b^3+2

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expand 250(a-b)^3+2

expand

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

250 a^{3} - 750 a^{2} b + 750 a b^{2} - 250 b^{3} + 2

Solution steps

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

Expand

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

= 250 (a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}) + 2

Distribute parentheses

= 250 a^{3} + 250 (- 3 a^{2} b) + 250 \cdot 3 a b^{2} + 250 (- b^{3}) + 2

Simplify

250 a^{3} + 250 (- 3 a^{2} b) + 250 \cdot 3 a b^{2} + 250 (- b^{3}) : 250 a^{3} - 750 a^{2} b + 750 a b^{2} - 250 b^{3}

= 250 a^{3} - 750 a^{2} b + 750 a b^{2} - 250 b^{3} + 2

f x_{>} 0

x^{3} + 7 x^{2} - 21 x - 27

2 (150 - 2 y)

(\frac{x ^{2} + 1}{( 3 x )})^{n}

8 x^{3} - 2 x y^{2}

What is expand 250(a-b)^3+2 ?
The solution to expand 250(a-b)^3+2 is 250a^3-750a^2b+750ab^2-250b^3+2