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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Factor out common term

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

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

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

10 \cdot \frac{2}{3}

(\frac{2}{3} a^{2} b^{2})^{2} \cdot (- 3 ab)^{4}

(- 2 y^{5} z) (x^{2} z)

\frac{x ^{2} ( x - 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x + 6 )}{x ^{3}}

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