x四次方+2x³+x²+1+2(x+x²)

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x四次方+2x³+x²+1+2(x+x²)x四次方+2x³+x²+1+2(x+x²)x四次方+2x³+x²+1+2(x+

x四次方+2x³+x²+1+2(x+x²)
x四次方+2x³+x²+1+2(x+x²)

x四次方+2x³+x²+1+2(x+x²)
x四次方+2x³+x²+1+2(x+x²)
= x²(x²+2x+1)+1+2(x+x²)
= x²(x+1)²+1+2(x+x²)
= (x²+x)² + 2(x²+x) + 1
= (x²+x+1)²