How to subtract an algebric expression?

Dear Student,

Let us understand this with the help of an example.We will subtract 2x2 - xy + y2 - 3 from 3x2 + 9xy - 4y2 + 11.Thus, we have to find:3x2 + 9xy - 4y2 + 11 - 2x2 - xy + y2 - 3.Now, when subtracting an algebraic expression, we reverse the signs of all the terms that are to be subtracted.So, 3x2 + 9xy - 4y2 + 11 - 2x2 - xy + y2 - 3= 3x2 + 9xy - 4y2 + 11 - 2x2 + xy - y2 + 3= 3x2 - 2x2 + 9xy + xy - 4y2 - y2 + 11 + 3= x2 + 10xy - 5y2 + 14We can also solve the same problem in the following way:     3x2 + 9xy - 4y2 + 11     2x2 -   xy +   y2  -   3-     +       -       +_____________________      x2 + 10xy - 5y2 + 14

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