Question

Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x8 + 6x7 - 5)​

Answer 1

`2x^8-6x^7+11x^6-2x+10`

Explanation:

To find:
`10x^8+11x^6-2x+5-(8x^8+6x^7-5)`

Solution:

Like terms refer to terms with same variables and same powers.

Two like terms can be added or subtracted.

Consider the following expression:

`10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10`

(Here, like terms are added or subtracted)