因式分解 9（2a+3b)²-4(3a-2b)²

因式分解 9（2a+3b)²-4(3a-2b)²
因式分解 9（2a+3b)²-4(3a-2b)²

因式分解 9（2a+3b)²-4(3a-2b)²
原式=(6a+9b)²-(6a-4b)²
=[(6a+9b)+(6a-4b)][(6a+9b)-(6a-4b)]
=13b(12a+5b)

9（2a+3b)²-4(3a-2b)²
=[3(2a+3b)+2(3a-2b)][3(2a+3b)-2(3a-2b)]
=13b(12a+5b)

9（2a+3b)²-4(3a-2b)²
＝[3(2a+3b)]²-[2(3a-2b)]²
=[3(2a+3b)+2(3a-2b)][3(2a+3b)-2(3a-2b)]
=(12a+5b)(6a+13b)