⑴2x⁴+x²-3
ここでx²=Aとして考えると
=2A²+A-3
=(A-1)(2A+3)
=(x²-1)(2x²+3)
=(x+1)(x-1)(2x²+3)
⑵x⁴-6x²+1
=(x²-1)²-4x²
={(x²-1)+2x}{(x²-1)-2x}
=(x²+2x-1)(x²-2x-1)
⑶x⁴+x²y²+y⁴
=(x²+y²)²-x²y²
={(x²+y²)+xy}{(x²+y²)-xy}
=(x²+xy+y²)(x²-xy+y²)
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