What is factor a^2-1+2b-b^2 ?

The solution to factor a^2-1+2b-b^2 is (a+b-1)(a-b+1)

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factor a^2-1+2b-b^2

factor

a^{2} - 1 + 2 b - b^{2}

(a + b - 1) (a - b + 1)

Solution steps

a^{2} - 1 + 2 b - b^{2}

Factor

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

= a^{2} - (b - 1)^{2}

Apply Difference of Two Squares Formula:

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

a^{2} - (b - 1)^{2} = (a + (b - 1)) (a - (b - 1))

= (a + (b - 1)) (a - (b - 1))

Simplify

(a + (b - 1)) (a - (b - 1)) : (a + b - 1) (a - b + 1)

= (a + b - 1) (a - b + 1)

\frac{3}{5} + \frac{8}{b} + \frac{4}{2}

\frac{k ! ( - 2 ) ^{2} k}{( 3 ^{2} k + 1 )}

p^{4} + 2 p^{2} + 9

2 x^{4} + 54 x

(5 a^{4} b^{3}) (- 2 a^{2} b^{5}) (4 a^{2} b)

What is factor a^2-1+2b-b^2 ?
The solution to factor a^2-1+2b-b^2 is (a+b-1)(a-b+1)