Respuesta :
Answer:
A. x^2 + 6
Step-by-step explanation:
(4x^2 - 6x + 8) - (3x^2 - 6x + 2) =
The first set of parentheses is unnecessary, so just remove it.
= 4x^2 - 6x + 8 - (3x^2 - 6x + 2)
To remove the second set of parentheses, change the sign of each term inside.
= 4x^2 - 6x + 8 - 3x^2 + 6x - 2
Now combine like terms.
= x^2 + 6
For this case we must find the difference of the following polynomials:
[tex](4x ^ 2-6x + 8) - (3x ^ 2-6x + 2) =[/tex]
Taking into account that:
[tex]- * - = +\\+ * - = -[/tex]
We have:
[tex]4x ^ 2-6x + 8-3x ^ 2 + 6x-2 =\\x ^ 2 + 0x + 6 =\\x ^ 2 + 6[/tex]
Answer:
[tex]x ^ 2 + 6[/tex]