Question

因式分解x*x*x*x+x*x+1

Answer 1

x*x*x*x+x*x+1
=x*x*x*x+2x*x+1-x²
=【x²＋1】²-x²
=【x²-x＋1】【x²＋x＋1】

Answer 2

x⁴+x²+1
= x⁴+2x²+1-x²
=(x²+1)²-x²
=(x²+x+1)(x²-x+1)