因式分解:(a+2b)2-15a-30b-16还有一题,也是因式分解:8x2-8xy-1/2+2y2

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因式分解:(a+2b)2-15a-30b-16
还有一题,也是因式分解:8x2-8xy-1/2+2y2

:(a+2b)2-15a-30b-16 =(a+2b)²-15(a+2b)-16=(a+2b-16)(a+2b+1) 还有一题,也是因式分8x2-8xy-1/2+2y2=2(4x²-4xy+y²-1/4)=2[(2x-y)²-1/4]=2(2x-y+1/2)(2x-y-1/2)

(a+2b)²-15a-30b-16
  =(a+2b)²-15(a+2b)-16
  =[(a+2b)-16][(a+2b)+1]
  =(a+2b-16)(a+2b-1)

8x²-8xy-1/2+2y²
  =2[(4x²-4xy+y²)-1/4]
  =2[(2x-y)²-1/4]
  =2[(2x-y)+1/2][(2x-y)-1/2]
  =2(2x-y+1/2)(2x-y-1/2)