How many terms are in the expression shown below?

x2 - 10xy + 3y + y2 - 1

A)2

B)3

C)4

D)5

To determine the number of terms in the given expression, you need to identify individual terms that are separated by addition or subtraction operations. Let's break down the expression and count the number of terms.

x^2 - 10xy + 3y + y^2 - 1

The terms in the expression are:

1. x^2
2. -10xy
3. 3y
4. y^2
5. -1

As there are 5 individual terms in the expression, the correct answer is option D) 5.