F.3 Factorize

2010-09-07 1:44 am
28(x+y)^2-7(x-y)^2

回答 (1)

2010-09-07 1:53 am
✔ 最佳答案
28(x+y)^2 - 7(x-y)^2

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

= 7{ [2(x+y)]^2 - (x-y)^2 }

= 7{ [(2(x+y) + (x-y)] [2(x+y) - (x-y)] }

= 7 (2x+2y+x-y) (2x+2y-x+y)

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



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