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If the terms are like terms, add them. If they are unlike terms, state unlike terms.$$3 x^{2}, 5 x^{2}$$...

Question

If the terms are like terms, add them. If they are unlike terms, state unlike terms.$$3 x^{2}, 5 x^{2}$$

If the terms are like terms, add them. If they are unlike terms, state unlike terms. $$3 x^{2}, 5 x^{2}$$



Answers

If the terms are like terms, add them. If they are unlike terms, state unlike terms. $$3 x^{2}, 5 x^{2}$$

For this problem were given an expression, and we have to combine the like terms and again, like terms contained the same variables raised to the same powers. So if we're working this expression, we have this first term, they exclude why another term negative two x y squared another term X squared and then another term five x. And if we look at all of the variables, we can see that these first two terms having X and they don't have a wife. So they have the same variables. Bet here X rays to the second power and in the other term, exes Only ways to the first power. And then again in the first term rock, why is raised to the first power and then in the second term, rise raise to the second power. So even though they contain the same variables, those variables are not raised to the same powers these air not like terms. And then if we look at the last two terms expired on five acts, they do contain the same variables. They both only have X, but again here, X is raised to the second power and then in the other term, X is raised to the first power, so they have the same variables, but they're not raised the same powers, so these are also not like terms.

Here we have to add the like Comes here given by the dems five X girl My skin Bless off four X cube minus off eight X Care Vice care minus off. 12 x Cubed. Now comes with the X cubed We have flowed X cube minus off well X cubed plus off terms with ex Scared by scared We have five acts scared by scare minus off eight x Scared by scared So this will be close to minus off. Eight X cube minus off three X care. Why scare?

Considerably given expression. We see that there are no light domes in the event expression who we can conclude that the expression is held really simplified.

So for this question, we need to determine which expressions are or which terms are on my terms and which ones are like terms. So remember what life terms meets, right? Like, terms are variables that have the same exponents and the same variables. The 1st 1 we have variable X in both, and they have both the same expert have exploded of what? So we can call these life terms. Right? Um and we're gonna go ahead and add the's terms. So when we had 12 x with five X, we're going to get 17 X. And for the second part of the question, we have nine years where in 10 years, words. So, yes, they have the same variable of you and they have the same exponents of two. So these are life terms, and when we add them, we're going to get 19. You square for the third part of the question, we do have X and y, so they do. We do have the same variables, but the exponents differ right for why we have one with an expletive three and the other with an explanation to. So these are going to be unlike terms and for the last part of the questions. Again, we have the same variables that we have X, y and Z. But the variable on Z differs. This one have exponents of one, and this one has an explosion of two. So because of this, we have to say that these are unlike terms.


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