数学计算因式分解
计算(1)(3a+2b-1)(34-2b+1) (2)(-3a-1)(3a+1)
因式分解 (1)3m(2x-y)²-3mn² (2)(x-y)³+4(y-x) (3)(x-2x)²+2(x²-2x)+1 (4)4x²+2x-y-y ² (5)2ab+1-a²-b² (6)x³-2x²y-xy²+2y³
人气:180 ℃ 时间:2020-04-02 18:50:30
解答
(1)(3a+2b-1)(34-2b+1)
=9a²-(2b-1)²
=9a²-4b²-1+4b
(2)(-3a-1)(3a+1)
=-9a²-1-6a
因式分解 (1)3m(2x-y)²-3mn²
=3m(2x-y+n)(2x-y-n)
(2)(x-y)³+4(y-x)
=(x-y)(x-y+2)(x-y-2)
(3)(x-2x)²+2(x²-2x)+1
=(x²-2x+1)²
=(x-1)^4
(4)4x²+2x-y-y ²
=(2x-y)(2x+y+1)
(5)2ab+1-a²-b²
=1-(a-b)²
=(1+a-b)(1-a+b)
(6)x³-2x²y-xy²+2y³
=x²(x-y)-y²(x-y)
=(x-y)(x²-y²)
=(x-y)²(x+y)
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