Question

Упростите выражение: (а2+b2+ab+1)(a2+b2-ab+1)-(a2+b2+1)2 выполните удобную замену переменной

Answer 1

=а2+b2+ab+1×a2+b2-ab+1-a2-b2-1×2=a2(1+1-1)+b2(1+1-1)+ab(1-1)+1+1-1×2= a2+b2+2

Answer 2

Simplifying the Expression and Variable Substitution

To simplify the given expression (a^2+b^2+ab+1)(a^2+b^2-ab+1)-(a^2+b^2+1)^2 and perform a convenient variable substitution, we can start by expanding the expression and then proceed with the substitution.

Expanding the given expression: ``` (a^2+b^2+ab+1)(a^2+b^2-ab+1)-(a^2+b^2+1)^2 ```

Now, let's perform the variable substitution to simplify the expression.