How would you explain the steps of collecting like terms in the following expression?

3x²y − 2xy³ + 5x²y + 8x²y³

What terms match?

Combine the like terms:

How would you rewrite the new expression?

Question

How would you explain the steps of collecting like terms in the following expression?
 

3x²y − 2xy³ + 5x²y + 8x²y³

 

What terms match?

Combine the like terms:  

How would you rewrite the new expression?

dayakar · Answer

separate x^2y terms

xmissalycatx · Answer

Combining like terms means to combine terms that are similar. For example, if you have and equation that says 2 + x + 4 + x , you would combine the 2 and 4 because they are similar, and then the x's because they are similar. Then you'd have 2x + 6.



Now in your case, you would combine 3x²y with 5x²y because they are similar. 

Then, 8x²y³ and − 2xy³ would be left alone, because they don't have like terms with anything else.. they are basically the outcasts (because they're different).

So, when you combine 3x²y with 5x²y you'd get 8x²y !

Now you have all of the information you need to write the equation. 
Hint: Just put them in order now. 
Hope it helped! :)

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