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

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

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

simplify

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

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

Solution steps

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

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} - 1

Group like terms

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

Add similar elements:

- a^{2} - a^{2} = - 2 a^{2}

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

Subtract the numbers:

- 1 - 1 = - 2

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

(x^{\frac{4}{7}})^{- 7}

\frac{39}{65} \div \frac{3}{26}

5 x - (2 - 3 x)

\frac{4}{27}

20 + 20 - 10 x^{0} + 2 + 2

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