Question

（X＾2-7X+6）（X＾2-X-6）+56

Answer 1

(x2-7x+6)(x2-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)