1:A^4-7A^2+1
来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/06/16 09:10:43
1:A^4-7A^2+1
2:(X-Y)(X-2Y)-6Y^2
3:(X^2+3X-3)(X^2+3X+4)
4:(X^2-7X+6)(X^2-X-6)+56
5:X^2-2XY-3Y^2+3X-5Y+2
2:(X-Y)(X-2Y)-6Y^2
3:(X^2+3X-3)(X^2+3X+4)
4:(X^2-7X+6)(X^2-X-6)+56
5:X^2-2XY-3Y^2+3X-5Y+2
1.A^4-7A^2+1=a^4+2a^2+1-9a^2
=(a^2+1)^2-9a^2
=(a^2+3a+1)(a^2-3a+1)
2.(X-Y)(X-2Y)-6Y^2=X^2-3XY-4Y^2
=(X+Y)(X-4Y)
3.(X^2+3X-3)(X^2+3X+4)-8
=(x^2+3x)^2 -3(x^2+3x)+4(x^2+3x)-12-8
=(x^2+3x)+(x^2+3x)-20
=(x^2+3x+5)(x^2+3x-4)
=(x^2+3x+5)(x+4)(x-1)
4.(X^2-7X+6)(X^2-X-6)+56=(x-6)(x-1)(x-3)(x+2)+56
=[(x-6)(x+2)][(x-1)(x-3)]+56
=(x^2-4x-12)(x^2-4x+3)+56
=(x^2-4x)^2-9(x^2-4x)-36+56
=(x^2-4x)^2-9(x^2-4x)+20
=(x^2-4x-4)(x^2-4x-5)
=(x^2-4x-4)(x-5)(x+1)
5.X^2-2XY-3Y^2+3X-5Y+2=(x-3y)(x+y)+3x-5y+2
=(x-3y+1)(x+y+2)
=(a^2+1)^2-9a^2
=(a^2+3a+1)(a^2-3a+1)
2.(X-Y)(X-2Y)-6Y^2=X^2-3XY-4Y^2
=(X+Y)(X-4Y)
3.(X^2+3X-3)(X^2+3X+4)-8
=(x^2+3x)^2 -3(x^2+3x)+4(x^2+3x)-12-8
=(x^2+3x)+(x^2+3x)-20
=(x^2+3x+5)(x^2+3x-4)
=(x^2+3x+5)(x+4)(x-1)
4.(X^2-7X+6)(X^2-X-6)+56=(x-6)(x-1)(x-3)(x+2)+56
=[(x-6)(x+2)][(x-1)(x-3)]+56
=(x^2-4x-12)(x^2-4x+3)+56
=(x^2-4x)^2-9(x^2-4x)-36+56
=(x^2-4x)^2-9(x^2-4x)+20
=(x^2-4x-4)(x^2-4x-5)
=(x^2-4x-4)(x-5)(x+1)
5.X^2-2XY-3Y^2+3X-5Y+2=(x-3y)(x+y)+3x-5y+2
=(x-3y+1)(x+y+2)
(高一集合)已知A={2,4,a*a*a-2a*a-a+7},B={1,a+3,a*a-2a+2,a*a*a+a*a+3
a(a-1)(a-2)(a-3)(a-4)因式分解
1+2a+3a^2+4a^3+5a^4+6a^5+5a^6+4a^7+3a^82a^9+a^10
已知a^2+a+1=0,求1+a+a^2+a^3+a^4+a^5+a^6+a^7+a^8的值
已知1+a+a^2=0求1+a+a^2+a^3+a^4+a^5+a^6+a^7+a^8的值
求和:1,a+a^2,a^3+a^4+a^5,a^6+a^7+a^8+a^9,···(a不等于0)
【1】a+a=a×a a= [ ]【2】a×a=a÷a a=[ ]【3】a×a=a-a a=[ ] [4]a-a=a+a
已知1+a+a^2+a^3=0,求a+a^2+a^3+a^4+a^5+a^6+a^7+a^8+.+a^2008的值
1:A^4-7A^2+1
(a+1)(a+2)(a+3)(a+4)的答案
因式分解 (a+1)(a+2)(a+3)(a+4)+24
因式分解:(a+1)(a+2)(a+3)(a+4)-120