Question

For the expression 6x³-8x²-(40)/(y)+21, which statement is correct?

A) There are four terms.
B) The entire expression is a difference.
C) There are three terms.
D) The term -(40)/(y) is a ratio.

Answer 1

The expression has four terms. It is not a difference and the term -(40)/(y) is not a ratio.

Step-by-step explanation:

The expression 6x³-8x²-(40)/(y)+21 has four terms. This is because terms in an algebraic expression are separated by addition (+) or subtraction (-) signs. In this case, the expression has a total of four terms: 6x³, -8x², -(40)/(y), and 21.

Additionally, the entire expression is not a difference. A difference refers to an algebraic expression that shows the subtraction of one term from another. In this case, the expression is a combination of multiple terms, not a subtraction.

Lastly, the term -(40)/(y) is not a ratio. A ratio is a comparison of two quantities using division. In this expression, -(40)/(y) is a single term that represents the division of 40 by y, not a comparison of two quantities.