Đáp án:
a/ $x(x^2+1-x\sqrt{2})(x^2+1+x\sqrt{2})$
b/ $(x+2)(x^2-x+2)$
Giải thích các bước giải:
a/ $x^5+x$
$=x(x^4+1)$
$=x(x^4+2x^2+1-2x^2)$
$=x[(x^2+1)^2-2x^2]$
$=x(x^2+1-x\sqrt{2})(x^2+1+x\sqrt{2})$
b/ $x^3+x^2+4$
$=x^3+2x^2-x^2-2x+2x+4$
$=x^2(x+2)-x(x+2)+2(x+2)$
$=(x+2)(x^2-x+2)$
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