Answer
$x-2\sqrt{10x}+10$
Work Step by Step
$(\sqrt x-\sqrt{10})^2$
$(\sqrt{x}-\sqrt{10})(\sqrt{x}-\sqrt{10})$
Use the FOIL method to multiply the binomial.
Multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
$(\sqrt{x}\times\sqrt{x})+(-\sqrt{10}\times\sqrt x)+(-\sqrt{10}\times\sqrt x)+(-\sqrt{10}\times-(\sqrt {10}))$
Simplify.
$x+(-\sqrt{10x})+(-\sqrt{10x})+10$
Combine like terms/like radicals.
$x-2\sqrt{10x}+10$
