What is factor u^2-v^2+2v-1 ?

The solution to factor u^2-v^2+2v-1 is (u+v-1)(u-v+1)

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factor u^2-v^2+2v-1

factor

u^{2} - v^{2} + 2 v - 1

(u + v - 1) (u - v + 1)

Solution steps

u^{2} - v^{2} + 2 v - 1

Factor

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

= u^{2} - (v - 1)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

u^{2} - (v - 1)^{2} = (u + (v - 1)) (u - (v - 1))

= (u + (v - 1)) (u - (v - 1))

Simplify

(u + (v - 1)) (u - (v - 1)) : (u + v - 1) (u - v + 1)

= (u + v - 1) (u - v + 1)

5^{- 1} (3^{- 2})

- 16 x^{2} + 552 x + 3 = 0

9 - w^{2}

4 x^{2} - 11 x + 6 = 0

\frac{2}{m ^{2} p} + \frac{5}{p}

What is factor u^2-v^2+2v-1 ?
The solution to factor u^2-v^2+2v-1 is (u+v-1)(u-v+1)