Question

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)+

Answer 1

(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)