Question

How do you find the sum or difference of `(2x+3x^2)-(7-8x^2)`?

Answer 1

`11x^2+2x-7`

Explanation:

`(2x+3x^2)-(7-8x^2)`

`(2x+3x^2)+[-1\cdot(7-8x^2)]`
`(2x+3x^2)+[-1(7)+(-1)(-8x^2)]` apply distributive property to second half
`(2x+3x^2)+[-7+8x^2]` simplify
`2x+3x^2-7+8x^2` remove parentheses and change signs where needed
`2x+11x^2-7` add like terms
`11x^2+2x-7` reorder to quadratic format