Answer:
x²+6x-15
Step-by-step explanation:
We are given this expression:
[tex](3x^2+2x-8) - ( 2x^2-4x+7)[/tex]
We want to simplify the expression. First, distribute the negative sign in front of the second set of parentheses. Multiply each term inside the parentheses by -1.
[tex](3x^2+2x-8) + (-1*2x^2) + (-1*-4x) + (-1*7)[/tex]
[tex](3x^2+2x-8) -2x^2+ 4x -7[/tex]
Next, combine like terms. The 2 terms with an x² can be combined, just like the two terms with an x, and the two terms without a variable.
[tex](3x^2-2x^2) + (2x+4x) + (-8-7)[/tex]
[tex]x^2+(2x+4x)+(-8-7)[/tex]
[tex]x^2+6x+(-8-7)[/tex]
[tex]x^2+6x-15[/tex]
The expression x²+6x-15 is equivalent to (3x²+2x-8)-(2x²-4x+7)
