x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!

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x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
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x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!

x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
=(3x²+5xy)²-(5xy+3y²)²
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)

x²(3x+5Y)²-y²(5x+3y)²
=(3x+5y)²(x²-y²)
=(x+y)(x-y)(3x+5y)²