x^4 + 10x + 18 - x^4 - 3x + 2

Is this 13x + 16?

10 - 3 = 7

18 + 2 = 20
so
7 x + 20

Hmmm.

x^4 + 10x + 18 - (x^4 - 3x + 2) does equal 13x+16

see what a difference some parentheses can make?

Oops...forgot the parentheses. Thanks Damon and Steve!

To determine if the given expression simplifies to 13x + 16, we need to combine like terms.

The expression can be rewritten as:

(x^4 - x^4) + (10x - 3x) + (18 + 2)

Simplifying each pair of like terms, we have:

0x^4 + 7x + 20

Since there is no x^4 term, we can simplify further:

7x + 20

Comparing this simplified expression to 13x + 16, we can see that they are not equal. Therefore, the original expression does not simplify to 13x + 16.