分解因式:1.3x²-6√2xy-3y² 2.-3a²+4ab+2b²

1个回答

  • 3x²-6√2xy-3y²=3(x²-2√2xy-y²)=3(x²-2√2xy+2y²-3y²)=3(x-√2y)²-9y²=3【(x-√2y)²-3y²】

    =3【(x-√2y-√3y)(x-√2y+√3y)】

    2.-3a²+4ab+2b²=-3(a²-4/3ab)+2b²=-3(a²-4/3ab+4/9b²-4/9b²)+2b²=-3(a-2/3b)²+4/3b²+2b²=10/3b²-3(a-2/3b)²=1/3 【10b²-9(a-2/3b)²】=1/3 [√10b+3(a-2/3b)][√10b-3(a-2/3b)]=1/3(√10b+3a-2b)(√10b-3a+2b)