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simplify this: (3x-5y)^2-(3x+y)(3x-y)

Question

simplify this: (3x-5y)^2-(3x+y)(3x-y)

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Solution

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

  1. Expand the first term (3x-5y)^2: (3x-5y)^2 = (3x)^2 - 2*(3x)*(5y) + (5y)^2 = 9x^2 - 30xy + 25y^2

  2. Expand the second term (3x+y)(3x-y): (3x+y)(3x-y) = (3x)^2 - (y)^2 = 9x^2 - y^2

  3. Subtract the second term from the first term: (9x^2 - 30xy + 25y^2) - (9x^2 - y^2) = 9x^2 - 30xy + 25y^2 - 9x^2 + y^2 = -30xy + 26y^2

So, (3x-5y)^2-(3x+y)(3x-y) simplifies to -30xy + 26y^2.

This problem has been solved

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