What is factor 5x^2y-5x^2+xy-x+y-1 ?

The solution to factor 5x^2y-5x^2+xy-x+y-1 is (-1+y)(x(1+5x)+1)

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factor 5x^2y-5x^2+xy-x+y-1

factor

5 x^{2} y - 5 x^{2} + x y - x + y - 1

(- 1 + y) (x (1 + 5 x) + 1)

Solution steps

5 x^{2} y - 5 x^{2} + x y - x + y - 1

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx, x^{2} = xx

= 5 xx y - 5 xx + x y - x + y - 1

Factor out common term

5 x

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

Factor

x y - x : x (y - 1)

= 5 xx (y - 1) + x y - x + y - 1

Factor out common term

x

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

Factor

5 x (y - 1) + y - 1 : (y - 1) (5 x + 1)

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

Rewrite as

= (- 1 + y) x (1 + 5 x) + 1 \cdot (- 1 + y)

Factor out common term

(- 1 + y)

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

(x + 1) (x - 3) (x + 4) (x - 6) + 38

(x + 3)^{2} - 17

- 8 π x y^{3} - 10 π y^{3}

x^{y} y^{x} + x y + x^{y + 1} + y^{x + 1}

9 v (2 v + 7) - 12 v (2 v + 7)

What is factor 5x^2y-5x^2+xy-x+y-1 ?
The solution to factor 5x^2y-5x^2+xy-x+y-1 is (-1+y)(x(1+5x)+1)