Respuesta :
Two terms are said to be like terms if they involve the same powers of the same variables.
So:
- [tex] g^2h [/tex] and [tex] gh^2 [/tex] are not like terms, because they involve the same variables, but with different exponents.
- [tex] 3g [/tex] and [tex] 3h [/tex] are not like terms, because they don't involve the same variables.
- [tex] g^4 [/tex] and [tex] h^4 [/tex] are not like terms, because they involve the same powers, but of different variables.
- [tex] 4g^2 [/tex] and [tex] 9g^2 [/tex] are like terms, because they involve the same power (the square) of the same variable ([tex] g[/tex])
The pair of terms is a pair of like terms
[tex]4g^2 \; and \; 9 g^2[/tex]
Option D is correct.
Explanation
we need to find which pair of terms are like terms
Like terms must have same variables and same exponents
In first option , both terms have same variables but the exponents are not same. so [tex]g^2h \; and \; gh^2[/tex] are unlike terms
In option B, 3g and 3h have different variables. They are unlike terms
In option c, [tex]g^4 \; and \; h^4[/tex] have different variables. So they are unlike terms.
In option D, both terms have same variable g and same exponent 2
so , [tex]4g^2 \; and \; 9 g^2[/tex] are like terms
Learn more : brainly.com/question/17380046
