因式分解36(x-y)²-49(x+y)²

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因式分解36(x-y)²-49(x+y)²

因式分解36(x-y)²-49(x+y)²
因式分解36(x-y)²-49(x+y)²

因式分解36(x-y)²-49(x+y)²
36(x-y)²-49(x+y)²
=[6(x-y)+7(x+y)][6(x-y)-7(x+y)]
=[6x-6y+7x+7y)(6x-6y-7x-7y)
=(13x+y)(-x-13y)
=-(13x+y)(x+13y)

36(x-y)²-49(x+y)²
=[6(x-y)]²-[7(x+y)]²
=[6(x-y)+7(x+y)][6(x-y)-7(x+y)]
=[6x-6y+7x+7y][6x-6y-7x-7y]
=(13x+y)(-x-13y)
=-(13x+y)(x+13y)

36(x-y)²-49(x+y)²
=[6(x-y)]²-[7(x+y)] ²
=[6(x-y)+7(x+y)] * [ 6(x-y)- 7(x+y)]
= - (13x+y)(x+13y)