What is factor+2(p-q)^2-(p-q)-1 ?

The solution to factor+2(p-q)^2-(p-q)-1 is (2(p-q)+1)(p-q-1)

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factor+2(p-q)^2-(p-q)-1

factor

+ 2 (p - q)^{2} - (p - q) - 1

(2 (p - q) + 1) (p - q - 1)

Solution steps

2 (p - q)^{2} - (p - q) - 1

Break the expression into groups

= (2 (p - q)^{2} + (p - q)) + (- 2 (p - q) - 1)

Factor out

(p - q)

from

2 (p - q)^{2} + (p - q) : (p - q) (2 (p - q) + 1)

Factor out

- 1

from

- 2 (p - q) - 1 : - (2 (p - q) + 1)

= (p - q) (2 (p - q) + 1) - (2 (p - q) + 1)

Factor out common term

2 (p - q) + 1

= (2 (p - q) + 1) ((p - q) - 1)

Refine

= (p - q - 1) (2 (p - q) + 1)

3 x + (- 2)

2 y w + 3 x y - 8 w z - 12 x z

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

a^{3} b^{3} c^{3} + 1

0.12 x + (- 0.34) y

What is factor+2(p-q)^2-(p-q)-1 ?
The solution to factor+2(p-q)^2-(p-q)-1 is (2(p-q)+1)(p-q-1)