Explanation:
To calculate A - B, we need to replace A by 3x^2+5x-6 and B by -2x^2-6x+7.
So, we get:
[tex]\begin{gathered} A-B \\ (3x^2+5x-6)-(-2x^2-6x+7) \end{gathered}[/tex]If we eliminate the brackets, we get:
[tex]3x^2+5x-6+2x^2+6x-7[/tex]Applying commutative property and adding similar terms:
[tex]\begin{gathered} 3x^2+5x-6+2x^2+6x-7 \\ 3x^2+2x^2+5x+6x-6-7 \\ 5x^2+11x-13 \end{gathered}[/tex]Answer: 2) 5(x^2) + 11x - 13