Pre- Algebra Algebraic expression

Question

What are the like terms???

3x to the 2 power y to the third power and 2y to the third power

Answer 1

What are the like terms?

3x to the second power, y to the third power, and 2y to the third power

Background Info:

In algebra, like terms are terms that have the same variable(s) raised to the same power, but may have different coefficients (the numerical part in front of the variables).

So translating from words to numerical notation you are working with 3x², y³, and 2y³

3x² has the variable x, neither of the other two terms have an x so 3x² is not a like term.

y³ has the same variable as 2y³, they are also both raised to the third power. These are like terms, it does not matter that 2y³ has a coefficient of 2.

Answer 2

For those questions, you need to follow the below steps

1) Check the variable, if the variables are the same, you may consider it

2) if the variables are the same, the exponent's power must be the same. For example, m³ and 4m³

If 1 and 2 conditions are satisfied, we call them like terms.

Answer 3

Variables are like terms if the exponents (powers) are the same.

y^3 and 2y^3 are like terms, because y is to the 3rd power. Add the numbers in front. If there is no number, then it's 1.

y^3 + 2y^3 = 3y^3

3x^2 can't be combined with anything else.

3x^2 + 3y^3

You can then factor out 3.

3(x^2 + y^3)