因式分解;第二题:(5x-3y)²-(3x-5y)²

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因式分解;第二题:(5x-3y)²-(3x-5y)²

因式分解;第二题:(5x-3y)²-(3x-5y)²
因式分解;第二题:(5x-3y)²-(3x-5y)²

因式分解;第二题:(5x-3y)²-(3x-5y)²
(5x-3y)²-(3x-5y)²
=(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=8*(x-y)*2*(x+y)
=16*(x+y)(x-y)

利用平方差公式:
(5x-3y)²-(3x-5y)²=(5x-3y+3x-5y)(5x-3y-3x+5y)=16(x-y)(x+y)

(5x-3y)²-(3x-5y)²
=(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)

:(5x-3y)²-(3x-5y)²
=【(5x-3y)+(3x-5y)][(5x-3y)-(3x-5y)]
=(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)

(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)