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)

\frac{2.95}{6} = \frac{x}{50}

11 x - 6 < 9 x + 10

m^{2} - 45 m^{5}

x^{2} - 10 x + 22 = - 2

\frac{14 x ^{4} y ^{7}}{6 x ^{5} y ^{4}}

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)