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simplify: (2y-8)(y+3)-2(y+3)(y-3)

Question

simplify: (2y-8)(y+3)-2(y+3)(y-3)

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Solution

Sure, let's simplify the expression step by step:

  1. First, distribute the terms in the first two parentheses: (2y-8)(y+3) = 2y^2 + 6y - 8y - 24 = 2y^2 - 2y - 24.

  2. Then, distribute the terms in the next two parentheses: 2(y+3)(y-3) = 2(y^2 - 9) = 2y^2 - 18.

  3. Now, subtract the second result from the first: (2y^2 - 2y - 24) - (2y^2 - 18) = 2y^2 - 2y - 24 - 2y^2 + 18 = -2y + 6.

So, the simplified form of the expression (2y-8)(y+3)-2(y+3)(y-3) is -2y + 6.

This problem has been solved

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