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)^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
=[4(x-y)-3(x+y)][4(x-y)+3(x+y)]
=(4x-4y-3x-3y)(4x-4y+3x+3y)
=(x-7y)(7x-y)

=(4x-4y+3x+3y)(4x-4y-3x-3y)=(7x-y)(x-7y)

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

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

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