Answer:
B) [tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
Step-by-step explanation:
Let's simplify the given options and find the correct answer.
The given expression is [tex]2x^2 - 2x + 7[/tex]
Let's take the option A and simplify.
[tex]-(4x + 12) + (2x^2 - 6x + 5)[/tex]
Distributing the negative sign and simplify.
[tex]-4x - 12 + 2x^2 -6x + 5[/tex]
Simplify the like terms.
[tex]2x^2 -10x - 7[/tex]
Which is not equal to the given expression.
Let's take the option B and simplify.
[tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
Simplify the like terms, we get
[tex]x^2 + x^2 -5x +3x +13 -6[/tex]
[tex]2x^2 -2x +7[/tex]
Which is equal to the given expression [tex]2x^2 -2x +7[/tex]
Therefore, the answer is B) [tex](x^2 - 5x + 13) +(x^2 + 3x - 6)\\[/tex]
