因式分解,①4(3a+2b)²-9(3a-2b)²②5y(x-2y)-20y(2x-y)²
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因式分解,①4(3a+2b)²-9(3a-2b)²②5y(x-2y)-20y(2x-y)²
![因式分解,①4(3a+2b)²-9(3a-2b)²②5y(x-2y)-20y(2x-y)²](/uploads/image/z/9822521-65-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C%E2%91%A04%EF%BC%883a%2B2b%EF%BC%89%26%23178%3B-9%EF%BC%883a-2b%EF%BC%89%26%23178%3B%E2%91%A15y%EF%BC%88x-2y%EF%BC%89-20y%EF%BC%882x-y%EF%BC%89%26%23178%3B)
①4(3a+2b)²-9(3a-2b)²
=[2(3a+2b)+3(3a-2b)][2(3a+2b)-3(3a-2b)]
=(15a-2b)(-3a+10b)
=-(15a-2b)(3a-10b)
②5y(x-2y)-20y(2x-y)²
=5y(x-2y)[1-4(x-2y)]
=5y(x-2y)(1-4x+8y)
=[2(3a+2b)+3(3a-2b)][2(3a+2b)-3(3a-2b)]
=(15a-2b)(-3a+10b)
=-(15a-2b)(3a-10b)
②5y(x-2y)-20y(2x-y)²
=5y(x-2y)[1-4(x-2y)]
=5y(x-2y)(1-4x+8y)
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