X的4次方+6乘以X的三次方+12乘以X的二次方+10乘以X+3 怎么化简
问题描述:
X的4次方+6乘以X的三次方+12乘以X的二次方+10乘以X+3 怎么化简
答
X^4+6X^3+12X^2+10X+3
=X^3(X+3)+3X^2(X+3) +3X(X+3)+(X+3)
=(X+3)(X^3+3X^2+3X+1)
=(X+3)(X+1)^3