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

The solution to expand 2(x^2+2x-5)^3 is 2x^6+12x^5-6x^4-104x^3+30x^2+300x-250

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

expand

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

2 x^{6} + 12 x^{5} - 6 x^{4} - 104 x^{3} + 30 x^{2} + 300 x - 250

Solution steps

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

(x^{2} + 2 x - 5)^{3} = x^{6} + 6 x^{5} - 3 x^{4} - 52 x^{3} + 15 x^{2} + 150 x - 125

= 2 (x^{6} + 6 x^{5} - 3 x^{4} - 52 x^{3} + 15 x^{2} + 150 x - 125)

Distribute parentheses

= 2 x^{6} + 2 \cdot 6 x^{5} + 2 (- 3 x^{4}) + 2 (- 52 x^{3}) + 2 \cdot 15 x^{2} + 2 \cdot 150 x + 2 (- 125)

Apply minus-plus rules

+ (- a) = - a

= 2 x^{6} + 2 \cdot 6 x^{5} - 2 \cdot 3 x^{4} - 2 \cdot 52 x^{3} + 2 \cdot 15 x^{2} + 2 \cdot 150 x - 2 \cdot 125

Simplify

2 x^{6} + 2 \cdot 6 x^{5} - 2 \cdot 3 x^{4} - 2 \cdot 52 x^{3} + 2 \cdot 15 x^{2} + 2 \cdot 150 x - 2 \cdot 125 : 2 x^{6} + 12 x^{5} - 6 x^{4} - 104 x^{3} + 30 x^{2} + 300 x - 250

= 2 x^{6} + 12 x^{5} - 6 x^{4} - 104 x^{3} + 30 x^{2} + 300 x - 250

\frac{( 8 x ^{2} + 13 )}{( x ^{2} + 1 ) ( x + 1 )}

1 + \frac{3.3 ( s + 6 ) ( s + 10.75 )}{( s + 2 ) ( s + 3 ) ( s + 5 )}

(3 (x) + 2 (h, y) - 5) - (3 (x) + 2 (y) - 5)

7 (10 - 3)

What is expand 2(x^2+2x-5)^3 ?
The solution to expand 2(x^2+2x-5)^3 is 2x^6+12x^5-6x^4-104x^3+30x^2+300x-250