分解因式:1.3x²-6√2xy-3y² 2.-3a²+4ab+2b²
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分解因式:1.3x²-6√2xy-3y² 2.-3a²+4ab+2b²
分解因式:1.3x²-6√2xy-3y² 2.-3a²+4ab+2b²
分解因式:1.3x²-6√2xy-3y² 2.-3a²+4ab+2b²
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)