因式分解: 16(x-y)²-9(x+y)²

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因式分解:16(x-y)²-9(x+y)²因式分解:16(x-y)²-9(x+y)²因式分解:16(x-y)²-9(x+y)²16(x-y)

因式分解: 16(x-y)²-9(x+y)²
因式分解: 16(x-y)²-9(x+y)²

因式分解: 16(x-y)²-9(x+y)²
16(x - y)² - 9(x + y)²
= (4x - 4y)² - (3x + 3y)²
= (4x - 4y + 3x + 3y)(4x - 4y - 3x - 3y)
= (7x - y)(x - 7y)

16(x-y)²-9(x+y)² =(4x-4y)² - (3x+3y)²=(7x-y)(x-7y)

答案:(7x-y)(x-7y)

16(x-y)²-9(x+y)²
=[4(x-y)+3(x+y)][4(x-y)-3(x+y)]
=(4x-4y+3x+3y)(4x-4y-3x-3y)
=(7x-y)(x-7y)