Question

which terms are like terms in 2y3 - 4y2 + y + y3
They are all like terms
2y3, -4y2, and y3
4y2, and y
2y3, and y3

Answer 1

@mathlover2014

Answer 2

Like terms are terms which have the same exponent and variable.

For example:
\[x^2 + x^3\]no like terms
\[xy + xy^2\]no like terms
\[xy + 3xy + y^2\]\(xy\) and \(3xy\) are like terms

Answer 3

@whpalmer4

Answer 4

What is the Answer then? ;/ c?

Answer 5

Let's look at them:

a) \(2y^3,\ -4y^2,\ y^3 \)
Same variable \(y\), but not all the same exponent
b) \(4y^2, \ y\)
Again, same variable, but not all the same exponent. Remember, if there is no exponent, it is equivalent to an exponent of \(1\): \(y = y^1\)
c) \( 2y^3, \ y^3\)
here we have both the same variable and the same exponent. These two terms are like terms.