i need help figuring out this like term problem

Question

Add 100x²-50x+75 to 25x²-75x-50.

Answer 1

We can add only like terms, that is, terms having the same variable AND power (or exponent).  So we can align vertically the vatiables and coefficients of the like terms in each expression and add...

 

 1st Exp:  100x²  -50x  +75

2nd Exp:    25x²  -75x   -50

             --------------------------

                 125x² -125x +25.....simplified

                                                   expression