分解因式(1)-4a³b²+6a²b³-6ab²
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(1)-4a³b²+6a²b³-6ab²
=-2ab²(2a²-3ab+3)
(2)4x²y²-x²
=x²(4y²-1)
=x²(2y+1)(2y-1)
(3)(x-2y)²+6(2y-x)+9
=(x-2y)²-6(x-2y)+9
=(x-2y-3)²
(4)121(a+b)²-25(a-b)²
=[11(a+b)+5(a-b)][11(a+b)-5(a-b)]
=(16a+6b)(6a+16b)
=4(8a+3b)(3a+8b)
=-2ab²(2a²-3ab+3)
(2)4x²y²-x²
=x²(4y²-1)
=x²(2y+1)(2y-1)
(3)(x-2y)²+6(2y-x)+9
=(x-2y)²-6(x-2y)+9
=(x-2y-3)²
(4)121(a+b)²-25(a-b)²
=[11(a+b)+5(a-b)][11(a+b)-5(a-b)]
=(16a+6b)(6a+16b)
=4(8a+3b)(3a+8b)
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