Find the difference.

(9x2 + 10x + 4) − (9x2 + 5x − 1)

(a) 5x + 5
(b) 15x + 3
(c) x2 + 5x + 5
(d) x2 + 15x + 3

For this case we have the following polynomials:
 [tex](9x ^ 2 + 10x + 4) (9x ^ 2 + 5x - 1) [/tex]
 Subtracting both polynomials we have:
 [tex](9x ^ 2 + 10x + 4) - (9x ^ 2 + 5x - 1) [/tex]
 We group terms with the same exponent:
 [tex](9x ^ 2 - 9x ^ 2) + (10x - 5x) + (4 - (-1)) [/tex]
 Rewriting we have:
 [tex](9x ^ 2 - 9x ^ 2) + (10x - 5x) + (4 +1) 5x + 5[/tex]
 Answer:
 The difference is given by:
 (a) 5x + 5