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

1 Answer

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Answer:

-4x^2 – 2xy + 2y^2 + 9

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 + 9

Now 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 + 9

This is the final answer (sum), since none of these four terms can be combined.

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