16(x+y)^2-25(x-y)^2
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16(x+y)^2-25(x-y)^2
16(x+y)^2-25(x-y)^2
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
=[4(x+y)-5(x-y)][4(x+y)+5(x-y)]
=(4x+4y-5x+5y)(4x+4y+5x-5y)
=(9y-x)(9x-y)
(9y-X)(9x-y)
因式分
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)
求值:16(x+y)^2-25(x-y)^2
=16(x²+2xy+y²)-25(x²-2xy+y²)
=-9x²+82xy-y²
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