Question

Разложите на множители

Answer 1

(х^2-1)^2+6(х^2-1)+9=х^4-2x^2+1+6x^2-6+9=x^4+4x^2+4.

 

 

Answer 2

1)(х²-1)²+6(х²-1)+9=(x²-1)(x²-1)+6(x²-1)+9=(x²-1+6)(x²-1)+9=(x²+5)(x²-1)+9=x⁴-x²+5x²-5+9=x⁴+4x²+4=(x²)²+4x²+2²=(x²+2)²=(x²+2)(x²+2)  2)a²-x²+4x-4=a²-(x²-4x+4)=a²-(x-2)²=(a-x+2)(a+x-2)