Q:

Simplify: (3x^2 – 5xy + 2y^2)-(7x^2 – 3xy - 3^2)

Accepted Solution

A:
Answer:-4x^2 – 2xy + 2y^2   + 9Step-by-step explanation:First, perform the indicated multiplications:  Multiply each 7x^2, -3xy and -3^2 by -1:If this is done properly, we get:                       -7x^2 + 3xy + 9Now rewrite (3x^2 – 5xy + 2y^2)-(7x^2 – 3xy - 3^2) as                      3x^2 – 5xy + 2y^2 - 7x^2 + 3xy  + 9)Combining the x^2 terms, we get:                       -4x^2 – 5xy + 2y^2 + 3xy  + 9.Combining the xy terms, we get:                        -4x^2 – 2xy + 2y^2   + 9This is the final answer (sum), since none of these four terms can be combined.