Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3 n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6 n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3

The given polynomial is:



Rearranging the polynomial and bringing the like terms together:



Performing the addition and subtraction of the terms to simplify the polynomial:



Writing the polynomial in standard form. There can be two possible standard forms for this problem, with respect to variable m or with respect to variable n. In standard form we start from the highest exponent of the variable and move towards the smallest one. With respect to variable n, the standard form will be:



The 1st option lists the polynomial in standard form with respect to variable n.