Question

in the expression 3x + 5y - 2x + 7y, 3x and -2x are ____. when simplifying a fraction, divide both the numerator and denominator by the __. in the expression 5x² + 3x², you can combine the ____.

Explanation:

First Question:

Step1: Recall like terms definition

Like terms have same variable (or no variable) with same exponent. Here, \(3x\) and \(-2x\) have variable \(x\) with exponent \(1\).

Step2: Identify the term type

So \(3x\) and \(-2x\) are like terms.

Step1: Recall fraction simplification

To simplify a fraction, we divide numerator and denominator by their greatest common divisor (GCD) or greatest common factor (GCF).

Step2: Determine the term

So we divide by the greatest common factor (or divisor).

Step1: Recall combining like terms

In \(5x^2 + 3x^2\), both terms have \(x^2\) (same variable, same exponent), so they are like terms.

Step2: Identify the action

We can combine the like terms (by adding their coefficients).

Answer:

like terms

Second Question: