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求助分解因式(1)t^2-2t-8(2)3x^2-7x+2(3)4x^2+11x-3(4)2ax-10ay+5by-bx(5)m^2+5n-nm-5m(6)x^2-y^2+ax+ay(7)x^2-y^2-z^2+2yz(8)3^2004-3^2003(9)(-2)^101+(-2)^100
题目详情
求助分解因式(1)t^2-2t-8 (2)3x^2-7x+2 (3)4x^2+11x-3 (4)2ax-10ay+5by-bx (5)m^2+5n-nm-5m
(6)x^2-y^2+ax+ay
(7)x^2-y^2-z^2+2yz
(8)3^2004-3^2003
(9)(-2)^101+(-2)^100
(6)x^2-y^2+ax+ay
(7)x^2-y^2-z^2+2yz
(8)3^2004-3^2003
(9)(-2)^101+(-2)^100
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答案和解析
(1)t^2-2t-8 =(t-4)(t+2)
(2)3x^2-7x+2 =(x-2)(3x-1)
(3)4x^2+11x-3=(x+3)(4x-1)
(4)2ax-10ay+5by-bx =2a(x-5y)+b(x-5y)=(2a+b)(x-5y)
(5)m^2+5n-nm-5m =m^2-nm+5n-5m=m(m-n)-5(m-n)=(m-5)(m-n)
(6)x^2-y^2+ax+ay=(x+y)(x-y)+a(x+y)=(x-y+a)(x+y)
(7)x^2-y^2-z^2+2yz=x^2-(y^2+z^2-2yz)=x^2-(y-z)^2=(x+y-z)(x-y+z)
(8)3^2004-3^2003=3*3^2003-3^2003=2*3^2003
(9)(-2)^101+(-2)^100=-2*2^100+2^100=-2^100
(2)3x^2-7x+2 =(x-2)(3x-1)
(3)4x^2+11x-3=(x+3)(4x-1)
(4)2ax-10ay+5by-bx =2a(x-5y)+b(x-5y)=(2a+b)(x-5y)
(5)m^2+5n-nm-5m =m^2-nm+5n-5m=m(m-n)-5(m-n)=(m-5)(m-n)
(6)x^2-y^2+ax+ay=(x+y)(x-y)+a(x+y)=(x-y+a)(x+y)
(7)x^2-y^2-z^2+2yz=x^2-(y^2+z^2-2yz)=x^2-(y-z)^2=(x+y-z)(x-y+z)
(8)3^2004-3^2003=3*3^2003-3^2003=2*3^2003
(9)(-2)^101+(-2)^100=-2*2^100+2^100=-2^100
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