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

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

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factor x^2-1+2a-a^2

factor

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

(x + a - 1) (x - a + 1)

Solution steps

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

Factor

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

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

Apply Difference of Two Squares Formula:

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

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

= (x + (a - 1)) (x - (a - 1))

Simplify

(x + (a - 1)) (x - (a - 1)) : (x + a - 1) (x - a + 1)

= (x + a - 1) (x - a + 1)

∣ x ∣^{2} + 7 ∣ x ∣ + 12

x^{3} - x - 24

4 x^{2} y - 3 x^{3} y^{2} - x^{4}

(\frac{x}{2 - 1})^{3}

\frac{( n ^{2} - 8 n + 16 )}{( n - 4 )}

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