Question

因式分解：1'-（2a-b)^2+49(a-b)^2 2' x^6n+2+2x^3n+2+x^2

Answer 1

1.-(2a-b)^2+49(a-b)^2

=(7a-7b+2a-b)(7a-7b-2a+b)

=(9a-8b)(5a-6b)

2.x^(6n+2)+2x^(3n+2)+x^2

=x^2(x^6n+2x^3n+1)

=x^2(x^3n+1)^2

=x^2(x^n+1)^2(x^2n-x^n+1)^2