Question

因式分解(x²-5x+2)(x²-5x+4)-8

因式分解
(x^2-5x+4)(x^2-5x+6)-8
x(2x+1)(2x-3)(x-2)-63
(x^2-x-2)(x^2+11x+28)-19

Answer 1

(x^2-5x+4)(x^2-5x+6)-8
=(x²-5x)²+4(x²-5x)+6(x²-5x)+4*6-8
=(x²-5x)²+10(x²-5x)+16
=(x²-5x+2)(x²-5x+8)