Question

What is the difference of the polynomials?

(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

A.6r6s3 – 4r5s4 + 7r4s5
B.6r6s3 – 13r5s4 – r4s5
C.8r6s3 – 5r5s4 + r4s5 + 5r3s6
D.8r6s3 – 13r5s4 + r4s5 – 5r3s6

Answer 1

c

Explanation:

Answer 2

`8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6`

Explanation:

We want to simplify;

`(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)`

We expand the bracket to obtain;

`8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4`

We now group the like terms to obtain;

`8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6`

We now simplify to get;

`8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6`

The correct answer is C