(x^2+1)^2-(4x^2+10)(x^2+1)+(2x^2+5)^2
=(x²+1-2x²-5)²
=(-x²-4)²
=(x²+4)²
x^4-16
=(x²+4)(x²-4)
=(x²+4)(x+2)(x-2)
x^2-(x^2-5)^2-8(x^2-5)-16
=x²-[(x²-5)²+8(x²-5)+16]
=x²-(x²-5+4)²
=x²-(x²-1)²
=(x+x²-1)(x-x²+1)
81a^4+16b^4-72a^2b^2
=81a^4-72a^2b^2+16b^4
=(9a²-4b²)²
=(3a+2b)²(3a-2b)²
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