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(15x^4y4-9x^5y^3-3x^6y^2)/(-3x^2y)^2

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(15x^4y4-9x^5y^3-3x^6y^2)/(-3x^2y)^2
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(15x^4y4-9x^5y^3-3x^6y^2)/(-3x^2y)^2

(15x^4y^4-9x^5y³-3x^6y²)/(-3x²y)²
=(15x^4y^4-9x^5y³-3x^6y²)/(3x²y)(3x²y)
=(3x²y)(5x²y³-3x³y²-x^4y)/(3x²y)(3x²y)
=(5x²y³-3x³y²-x^4y)/(3x²y)
=5/3y²-xy-1/3x²/y