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