could someone help me add like terms

Question

Add 100²-50x+75 to 25x²−75x−50

 

Answer 1

I will assume the first expression should read "100x²-50x+75" (1st term variable is missing).

 

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