几道因式分解~帮下忙~
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/26 20:03:18
几道因式分解~帮下忙~
..(x+y)^2-2(X^2-Y^2)+(x-y)^2
(X^2-7X+6)(X^2-X-6)+56
-A^3+5A^2B+24AB^2
..(x+y)^2-2(X^2-Y^2)+(x-y)^2
(X^2-7X+6)(X^2-X-6)+56
-A^3+5A^2B+24AB^2
(x+y)^2-2(X^2-Y^2)+(x-y)^2
=(x+y)^2-2[(x+y)(x-y)]+(x-y)^2
=[(x+y)-(x-y)]^2
=4y^2
(X^2-7X+6)(X^2-X-6)+56
=(x-1)(x-6)(x+2)(x-3)+56
=(x^2-4x+3)(x^2-4x-12)+56
=(x^2-4x+3)^2-15(x^2-4x+3)+56
=(x^2-4x+3-8)(x^2-4x+3-7)
=(x^2-4x-5)(x^2-4x-4)
=(x-5)(x+1)(x^2-4x-4)
-A^3+5A^2B+24AB^2
=-A(A^2-5AB-24B^2)
=-A(A-8B)(A+3B)
=(x+y)^2-2[(x+y)(x-y)]+(x-y)^2
=[(x+y)-(x-y)]^2
=4y^2
(X^2-7X+6)(X^2-X-6)+56
=(x-1)(x-6)(x+2)(x-3)+56
=(x^2-4x+3)(x^2-4x-12)+56
=(x^2-4x+3)^2-15(x^2-4x+3)+56
=(x^2-4x+3-8)(x^2-4x+3-7)
=(x^2-4x-5)(x^2-4x-4)
=(x-5)(x+1)(x^2-4x-4)
-A^3+5A^2B+24AB^2
=-A(A^2-5AB-24B^2)
=-A(A-8B)(A+3B)