Math Homework Help?

Question

Merry Christmas!!
I'm trying to finish my math homework,but I forgot the operations for some problems.
Could you include steps in how you found the answer?

4x^2+2x-3 - 2x^2-5x-3

Simplify:
(x-7)(x+3)-x^2+6

Answer 1

4x^2+2x-3 - 2x^2-5x-3
For this one, just subtract and add "like" terms so we have
4x^2-2x^2 , 2x-5x, and -3-3, which becomes 2x^2-3x-6, which will be your answer

(x-7)(x+3)-x^2+6
For this one, you can FOIL the brackets, that is,
multiply the first terms in each backet, then multiply the outside two terms, the inside 2 terms, and then the second term in each bracket, so we get x^2+3x-7x-21-x^2+6, which is equal to
-4x-15

Answer 2

4x^2 + 2x - 3 - 2x^2 - 5x -3
= 4x^2 - 2x^2 + 2x - 5x - 3 - 3
= 2x^2 - 3x - 6

(x - 7)(x + 3) - x^2 + 6
= x(x + 3) - 7(x + 3) - x^2 + 6
= x^2 + 3x - 7x -21 - x^2 + 6
= x^2 - x^2 + 3x - 7x - 21 + 6
= - 4x - 15