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

The solution to expand 2(5x^2-3)^3 is 250x^6-450x^4+270x^2-54

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expand 2(5x^2-3)^3

expand

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

250 x^{6} - 450 x^{4} + 270 x^{2} - 54

Solution steps

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

Expand

(5 x^{2} - 3)^{3} : 125 x^{6} - 225 x^{4} + 135 x^{2} - 27

= 2 (125 x^{6} - 225 x^{4} + 135 x^{2} - 27)

Distribute parentheses

= 2 \cdot 125 x^{6} + 2 (- 225 x^{4}) + 2 \cdot 135 x^{2} + 2 (- 27)

Simplify

2 \cdot 125 x^{6} + 2 (- 225 x^{4}) + 2 \cdot 135 x^{2} + 2 (- 27) : 250 x^{6} - 450 x^{4} + 270 x^{2} - 54

= 250 x^{6} - 450 x^{4} + 270 x^{2} - 54

x^{- 1} 6

3^{x} - 2 + 2

(x + 2)^{2} - 5 x (x + 7) - (x + 1)^{3}

\frac{( 35 b - 42 )}{( 14 b - 7 )}

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

What is expand 2(5x^2-3)^3 ?
The solution to expand 2(5x^2-3)^3 is 250x^6-450x^4+270x^2-54