simplify this: (3x-5y)^2-(3x+y)(3x-y)
Question
simplify this: (3x-5y)^2-(3x+y)(3x-y)
Solution
Sure, let's simplify the expression step by step:
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Expand the first term (3x-5y)^2: (3x-5y)^2 = (3x)^2 - 2*(3x)*(5y) + (5y)^2 = 9x^2 - 30xy + 25y^2
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Expand the second term (3x+y)(3x-y): (3x+y)(3x-y) = (3x)^2 - (y)^2 = 9x^2 - y^2
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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.
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