What is expand (2-5x^2)^3 ?

The solution to expand (2-5x^2)^3 is 8-60x^2+150x^4-125x^6

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expand (2-5x^2)^3

expand

(2 - 5 x^{2})^{3}

8 - 60 x^{2} + 150 x^{4} - 125 x^{6}

Solution steps

(2 - 5 x^{2})^{3}

Apply Perfect Cube Formula:

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

(2 - 5 x^{2})^{3} = 2^{3} - 3 \cdot 2^{2} \cdot 5 x^{2} + 3 \cdot 2 (5 x^{2})^{2} - (5 x^{2})^{3}

= 2^{3} - 3 \cdot 2^{2} \cdot 5 x^{2} + 3 \cdot 2 (5 x^{2})^{2} - (5 x^{2})^{3}

Simplify

2^{3} - 3 \cdot 2^{2} \cdot 5 x^{2} + 3 \cdot 2 (5 x^{2})^{2} - (5 x^{2})^{3} : 8 - 60 x^{2} + 150 x^{4} - 125 x^{6}

= 8 - 60 x^{2} + 150 x^{4} - 125 x^{6}

2 x y^{2} x - 1

2 x^{2} + x - 45

1 0^{- 12.7}

- 2 (1 - x)^{2} + (x - 1)^{2}

(t + 5)^{2}

What is expand (2-5x^2)^3 ?
The solution to expand (2-5x^2)^3 is 8-60x^2+150x^4-125x^6