SOLUTION
In this question, we are going to solve each expression one after the other, and after we arrive at the solution, we will compare it to A, B, and C to see which matches. That will be the correct option to choose.
First expression calculation:
[tex]\begin{gathered} (3x^2-6x+11)-(10x^2-4x+6) \\ 3x^2-6x+11-10x^2+4x-6 \\ \end{gathered}[/tex]Collect like terms:
[tex]\begin{gathered} 3x^2-10x^2-6x+4x+11-6 \\ -7x^2-2x+5 \end{gathered}[/tex]The first expression is equivalent to the expression A
Second expression calculation:
[tex]\begin{gathered} (-3x^2-5x-3)-(-10x^2-7x+2) \\ -3x^2-5x-3+10x^2+7x-2 \\ C\text{ollect like terms} \end{gathered}[/tex][tex]\begin{gathered} -3x^2+10x^2-5x+7x-3-2 \\ 7x^2+2x-5 \end{gathered}[/tex]The second expression is equivalent to the expression C
Third expression calculation:
[tex]\begin{gathered} (12x^2+6x-5)-(5x^2+8x-12)_{} \\ 12x^2-5x^2+6x-8x-5+12 \\ 7x^2-2x+7 \end{gathered}[/tex]The third expression is equivalent to the expression B
