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CEMC Fermat

Algebra Difficulty 1.9 Junior Find the answer

What is the value of (3x+2y)−(3x−2y)(3x + 2y) - (3x - 2y) when x=−2x = -2 and y=−1y = -1?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

The expression (3x+2y)−(3x−2y)(3x + 2y) - (3x - 2y) is equal to 3x+2y−3x+2y3x + 2y - 3x + 2y which equals 4y4y. When x=−2x = -2 and y=−1y = -1, this equals 4(−1)4(-1) or −4-4.

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