What is factor 1+12x^2*y-6xy-8x^3*y^3 ?

The solution to factor 1+12x^2*y-6xy-8x^3*y^3 is -(8x^3y^3-12x^2y+6xy-1)

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factor 1+12x^2y-6xy-8x^3y^3

factor

1 + 12 x^{2} \cdot y - 6 x y - 8 x^{3} \cdot y^{3}

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

Solution steps

1 + 12 x^{2} y - 6 x y - 8 x^{3} y^{3}

Group by common factors

= - 8 x^{3} y^{3} + 12 x^{2} y - 6 x y + 1

= (- 8 x^{3} y^{3} + 12 x^{2} y) + (- 6 x y + 1)

Factor out

- 4 x^{2} y

from

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

Factor out

- 1

from

- 6 x y + 1 : - (6 x y - 1)

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

Factor out

- 1

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

Remove parentheses:

(a) = a

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

Expand

4 x^{2} y (2 x y^{2} - 3) + 6 x y - 1 : 8 x^{3} y^{3} - 12 x^{2} y + 6 x y - 1

= - (8 x^{3} y^{3} - 12 x^{2} y + 6 x y - 1)

(1.1 m - 0.4) (1.1 m + 0.4)

(22 a + 3 b + 4 c)^{3}

x^{2} - 2 x y

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

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

What is factor 1+12x^2*y-6xy-8x^3*y^3 ?
The solution to factor 1+12x^2*y-6xy-8x^3*y^3 is -(8x^3y^3-12x^2y+6xy-1)