Question

Find the difference.

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answer 1

(5x^2 + 2x + 11) − (7 + 4x − 2x^2)
= 5x^2 + 2x + 11 − 7 - 4x + 2x^2
= 7x^2 - 2x + 4

Answer 2

`7x^2-2x+4`

Explanation:

`(5x^2+2x+11)-(7+4x-2x^2)`

Breaking the parentheses using the law of signs for addition / subtraction:

`5x^2+2x+11-7-4x+2x^2`

Combining like terms:

`(5x^2+2x^2)+(2x-4x)+(11-7)`

add/subtract like terms:

`7x^2-2x+4`