What is factor 6(1-x)^2-4(1-x)^3-6x(1-x)^2-1 ?

The solution to factor 6(1-x)^2-4(1-x)^3-6x(1-x)^2-1 is -2x^3+6x^2-6x+1

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factor 6(1-x)^2-4(1-x)^3-6x(1-x)^2-1

factor

6 (1 - x)^{2} - 4 (1 - x)^{3} - 6 x (1 - x)^{2} - 1

- 2 x^{3} + 6 x^{2} - 6 x + 1

Solution steps

6 (1 - x)^{2} - 4 (1 - x)^{3} - 6 x (1 - x)^{2} - 1

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

= 6 (1 - 2 x + x^{2}) - 4 (1 - x)^{3} - 6 x (1 - x)^{2} - 1

(1 - x)^{3} : 1 - 3 x + 3 x^{2} - x^{3}

= 6 (1 - 2 x + x^{2}) - 4 (1 - 3 x + 3 x^{2} - x^{3}) - 6 x (1 - x)^{2} - 1

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

= 6 (1 - 2 x + x^{2}) - 4 (1 - 3 x + 3 x^{2} - x^{3}) - 6 x (1 - 2 x + x^{2}) - 1

Expand

6 (1 - 2 x + x^{2}) : 6 - 12 x + 6 x^{2}

= 6 - 12 x + 6 x^{2} - 4 (1 - 3 x + 3 x^{2} - x^{3}) - 6 x (1 - 2 x + x^{2}) - 1

Expand

- 4 (1 - 3 x + 3 x^{2} - x^{3}) : - 4 + 12 x - 12 x^{2} + 4 x^{3}

= 6 - 12 x + 6 x^{2} - 4 + 12 x - 12 x^{2} + 4 x^{3} - 6 x (1 - 2 x + x^{2}) - 1

Expand

- 6 x (1 - 2 x + x^{2}) : - 6 x + 12 x^{2} - 6 x^{3}

= 6 - 12 x + 6 x^{2} - 4 + 12 x - 12 x^{2} + 4 x^{3} - 6 x + 12 x^{2} - 6 x^{3} - 1

Simplify

6 - 12 x + 6 x^{2} - 4 + 12 x - 12 x^{2} + 4 x^{3} - 6 x + 12 x^{2} - 6 x^{3} - 1 : - 2 x^{3} + 6 x^{2} - 6 x + 1

= - 2 x^{3} + 6 x^{2} - 6 x + 1

(16 rs)^{\frac{3}{4}}

- 5 x - 3 \geq - 4 x - 7

(4 z - 18)^{2} + 30 = 10

\frac{1}{3 ( 8 ) ^{\frac{2}{3}}}

n + (- n) = 3 + 15

What is factor 6(1-x)^2-4(1-x)^3-6x(1-x)^2-1 ?
The solution to factor 6(1-x)^2-4(1-x)^3-6x(1-x)^2-1 is -2x^3+6x^2-6x+1