# Simplify each expression. (1-sqrt(x))^2

Kyle Liu 2022-07-31 Answered
Simplify each expression.
$\left(1-\sqrt{x}{\right)}^{2}$
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eyiliweyouc
This is again a use of FOIL
$\left(1-\sqrt{x}{\right)}^{2}$
This term is expanded into
$\left(1-\sqrt{x}\right)\left(1-\sqrt{x}\right)$
Multiply the FIRST terms together
(1)(1) = 1
Multiply the OUTER terms together
$\left(1\right)\left(-\sqrt{x}\right)=-\sqrt{x}$
Now multiply the inner terms together
$\left(-\sqrt{x}\right)\left(1\right)=-\sqrt{x}$
Then multiply the LAST terms together
$\left(-\sqrt{x}\right)\left(-\sqrt{x}\right)=\left(-\sqrt{x}\right)2=x$
Lastly add the terms together
$1-\sqrt{x}-\sqrt{x}+x$
$=1-2\sqrt{x}+x$
###### Not exactly what you’re looking for?
John Landry
$\left(1-\sqrt{x}{\right)}^{2}$ is the same as $\left(1-\sqrt{x}\right)\left(1-\sqrt{x}\right)$
$\left(1-\sqrt{x}\right)$
$\left(1-\sqrt{x}\right)$
$1-\left(1\right)\sqrt{x}$

$1-2\sqrt{x}+x$