How do you subtract #y^ { 5} - y ^ { 4}# from #y ^ { 2} + 3y ^ { 4}#?

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Answer 1 · 2016-11-19T13:45:51

#-y^5 + 4y^4 + y2#

This question can be rewritten as:

#(y^2 + 3y^4) - (y^5 - y^4)#

Next remove the parenthesis:

#y^2 + 3y^4 - y^5 + y^4#

Next group like terms:

#-y^5 + 3y^4 + y^4 + y^2#

Finally combine like terms:

#-y^5 + (3 + 1)y^4 + y^2 =>#

#-y^5 + 4y^4 + y2#