分解因式4a²+12ab+9(b²-1)
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分解因式4a²+12ab+9(b²-1)
分解因式4a²+12ab+9(b²-1)
分解因式4a²+12ab+9(b²-1)
4a²+12ab+9(b²-1)
= (2a +3 b)^2 - 3^2
=(2 a+3 b-3) (2 a+3 b+3)
4a²+12ab+9(b²-1)
=(2a)²+2×2a×3b+(3b)²-9
=(2a+3b)²-3²
=(2a+3b+3)(2a+3b-3)