What is factor (a+b-1)(a^2+1)-a^21 ?

The solution to factor (a+b-1)(a^2+1)-a^21 is a^3+a^2b-2a^2+a+b-1

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factor (a+b-1)(a^2+1)-a^21

factor

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

a^{3} + a^{2} b - 2 a^{2} + a + b - 1

Solution steps

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

Multiply:

a^{2} \cdot 1 = a^{2}

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

Expand

(a + b - 1) (a^{2} + 1) : a^{3} + a + a^{2} b + b - a^{2} - 1

= a^{3} + a + a^{2} b + b - a^{2} - 1 - a^{2}

Simplify

a^{3} + a + a^{2} b + b - a^{2} - 1 - a^{2} : a^{3} + a^{2} b - 2 a^{2} + a + b - 1

= a^{3} + a^{2} b - 2 a^{2} + a + b - 1

16 x^{2} + (- 96 x)

x^{2} + 9 + 16

x^{2} + 9 + 14

in v (11.27)

x^{2} + 9 + 18

What is factor (a+b-1)(a^2+1)-a^21 ?
The solution to factor (a+b-1)(a^2+1)-a^21 is a^3+a^2b-2a^2+a+b-1