因式分解 (8)(x-y)²+4xy

1个回答

  • (x-y)²+4xy 2a²+4ab+2b² 4a²-3b(4a-3b) 2x(a-2)-y(2-a) (a+b)²+2(a+b)+1

    =x²-2xy+y²+4xy =2(a²+2ab+b²) =4a²-12ab+9b² =2x(a-2)+y(a-2) =(a+b+1)²

    =x²+2xy+y² =2(a+b)² =(2a+3b)² =(2x+y)(a-2)

    4x^4-4x³+x² (ab+a)+(b+1)

    =x²(4x²-4x+1) =a(b+1)+(b+1)

    =x²(2x-1)² =(b+1)²(a+1)

    =【x(2x-1)】²