问题标题:
数学题3题,(x+5)²(x-5)²-(2x+1)²(2x-1)²已知:A=2x²-x+x,A-2B=x-1,求B.4a(1-b)²+2(b-1)²
问题描述:
数学题3题,
(x+5)²(x-5)²-(2x+1)²(2x-1)²
已知:A=2x²-x+x,A-2B=x-1,求B.
4a(1-b)²+2(b-1)²
陈永凤回答:
(1)
(x+5)²(x-5)²-(2x+1)²(2x-1)²
=(x²-25)²-(4x²-1)²
=(5x²-26)(-3x²-24)
=-3(5x²-26)(x²+8)
=-3(5x^4+14x²-208)
=-15x^4-42x²+624
(2)
A=2x²-x+1,A-2B=x-1
2B=A-(x-1)=2x²-x+1-x+1=2x²-2x+2
B=x²-x+1
(3)
4a(1-b)²+2(b-1)²
=4a(b-1)²+2(b-1)²
=2(2a+1)(b-1)²
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