Question

Answer 1

Bài 11:

a. $x\sqrt{x}+1=(\sqrt{x})^3+1^3$

$=(\sqrt{x}+1)(x-\sqrt{x}+1)$

b. $x\sqrt{x}-8=(\sqrt{x})^3-2^3$

$=(\sqrt{x}-2)(x+2\sqrt{x}+4)$

c.

$x\sqrt{x}-27=(\sqrt{x})^3-3^3=(\sqrt{x}-3)(x+3\sqrt{x}+9)$

d.

$x\sqrt{x}+2\sqrt{2}=(\sqrt{x})^3+(\sqrt{2})^3$
$=(\sqrt{x}+\sqrt{2})(x-\sqrt{2x}+2)$

e.

$1-x\sqrt{x}=-(x\sqrt{x}-1)=-(\sqrt{x}-1)(x+\sqrt{x}+1)$ (ngược phần a)

g.

$-x\sqrt{x}+125=5^3-(\sqrt{x})^3=(5-\sqrt{x})(25+5\sqrt{x}+x)$