分解因式:a²-4ab+4b²;4+12(x-y)+9(x-y)²

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分解因式:a²-4ab+4b²;4+12(x-y)+9(x-y)²

a²-4ab+4b²
=a²-2×a×2b+(2b)²
=(a-2b)²
4+12(x-y)+9(x-y)²
=2²+2×2×3(x-y)+[3(x-y)]²
=[2+3(x-y)]²
=(2+3x-3y)²