把下列格式分解因式 16(x+y)^2-25(x-y)^2

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把下列格式分解因式 16(x+y)^2-25(x-y)^2
把下列格式分解因式 16(x+y)^2-25(x-y)^2

把下列格式分解因式 16(x+y)^2-25(x-y)^2
16(x+y)^2-25(x-y)^2
=[4﹙x+y﹚+5﹙x-y﹚][4﹙x+y﹚-5﹙x-y﹚]
=﹙9x-y﹚﹙9y-x﹚

16(x+y)^2-25(x-y)^2
=(4x+4y)^2-(5x-5y)^2
=(4x+4y-5x+5y)(4x+4y+5x-5y)
=(9y-x)(9x-y)

16(x+y)^2-25(x-y)^2
=(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(9y-x)

16(x+y)^2-25(x-y)^2 = (4x+4y)^2-(5x-5y)^2 =(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(9y-x)

16(x+y)^2-25(x-y)^2
=[4(x+y)]^2 -[5(x-y)]^2
=[4(x+y)+5(x-y)][4(x+y)-5(x-y)]