因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y+12xy² (3)x(x+y)(x-y)-x(x+y)² (4)2x³-8x (5)4aX²-ay² (6)4y²-4x²y-y

因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y+12xy² (3)x(x+y)(x-y)-x(x+y)² (4)2x³-8x (5)4aX²-ay² (6)4y²-4x²y-y
因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y
因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y+12xy² (3)x(x+y)(x-y)-x(x+y)² (4)2x³-8x (5)4aX²-ay² (6)4y²-4x²y-y³ (7)1/3x²-2x+3 (8)x∧4-y∧4 (9)x∧n+3-x∧3n+1 (10)a²-b²-c²-2c

因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y因式分解 （1）9（a-b）²-16(a+b)² (2)3x³-12x²y+12xy² (3)x(x+y)(x-y)-x(x+y)² (4)2x³-8x (5)4aX²-ay² (6)4y²-4x²y-y
（1）9（a-b）²-16(a+b)²
={3(a-b) + 4(a+b)}* {3(a-b) - 4(a+b)}
=(3a-3b+4a+4b)*(3a-3b-4a-4b)
=(7a+b)*(-a-7b)
= - (7a+b)*(a+7b)
(2)3x³-12x²y+12xy²
= 3x(x^2 - 4xy + 4Y^2)
=3x(x-2y)^2
(3)x(x+y)(x-y)-x(x+y)²
=x(x+y){(x-y)-(x+y)}
= -2xy(x+y)
(4)2x³-8x
= 2x(x^2 - 2^2)
=2x(x+2)(x-2)
(5)4aX²-ay²
=a (2x+y)(2x-y)
(6)4y²-4x²y-y³
= -y (4x^2 - 4y +y^2)
= -y (2x - y)^2
(7)1/3x²-2x+3
=(1/3)*( x² -6x +9)
=(1/3)*(x-3)^2
(8)x∧4-y∧4
=(x^2+y^2)*(x^2-y^2)
=(x^2+y^2)(x+2)(x-2)
(9)x∧n+3-x∧3n+1
= x∧(n+3)- x∧(3n+1) （默认有括号）
=x^(n+1) *{x^2 - x^(2n)}
= x^(n+1)*{ x^2 - (x^n)^2}
= x^(n+1)*( x^2 +x^n) ( x^2 -x^n)
(10)a²-b²-c²-2c（2c可能漏了一个b,自己改了,如有问题可再提问）
= a²-b²-c²-2bc
= a² - (b+c)^2
=(a+b+c)(a-b-c)
请参考!