What is expand 8(6x^3+4x^2-x)^3 ?

The solution to expand 8(6x^3+4x^2-x)^3 is 1728x^9+3456x^8+1440x^7-640x^6-240x^5+96x^4-8x^3

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expand 8(6x^3+4x^2-x)^3

expand

8 (6 x^{3} + 4 x^{2} - x)^{3}

1728 x^{9} + 3456 x^{8} + 1440 x^{7} - 640 x^{6} - 240 x^{5} + 96 x^{4} - 8 x^{3}

Solution steps

8 (6 x^{3} + 4 x^{2} - x)^{3}

(6 x^{3} + 4 x^{2} - x)^{3} = 216 x^{9} + 432 x^{8} + 180 x^{7} - 80 x^{6} - 30 x^{5} + 12 x^{4} - x^{3}

= 8 (216 x^{9} + 432 x^{8} + 180 x^{7} - 80 x^{6} - 30 x^{5} + 12 x^{4} - x^{3})

Distribute parentheses

= 8 \cdot 216 x^{9} + 8 \cdot 432 x^{8} + 8 \cdot 180 x^{7} + 8 (- 80 x^{6}) + 8 (- 30 x^{5}) + 8 \cdot 12 x^{4} + 8 (- x^{3})

Apply minus-plus rules

+ (- a) = - a

= 8 \cdot 216 x^{9} + 8 \cdot 432 x^{8} + 8 \cdot 180 x^{7} - 8 \cdot 80 x^{6} - 8 \cdot 30 x^{5} + 8 \cdot 12 x^{4} - 8 x^{3}

Simplify

8 \cdot 216 x^{9} + 8 \cdot 432 x^{8} + 8 \cdot 180 x^{7} - 8 \cdot 80 x^{6} - 8 \cdot 30 x^{5} + 8 \cdot 12 x^{4} - 8 x^{3} : 1728 x^{9} + 3456 x^{8} + 1440 x^{7} - 640 x^{6} - 240 x^{5} + 96 x^{4} - 8 x^{3}

= 1728 x^{9} + 3456 x^{8} + 1440 x^{7} - 640 x^{6} - 240 x^{5} + 96 x^{4} - 8 x^{3}

\frac{( x + 6 ) ( x - 1 )}{( x + 2 ) ( x - 3 )}

(x + y = 1, 5) (4 x - y = 5)

(- 16 y^{2} + 144) d y

(x^{2} + y^{2}) ln (x^{2} + y^{2})

(x + y) e^{3}

What is expand 8(6x^3+4x^2-x)^3 ?
The solution to expand 8(6x^3+4x^2-x)^3 is 1728x^9+3456x^8+1440x^7-640x^6-240x^5+96x^4-8x^3