Kyle Liu

2022-07-31

Simplify each expression.

$(1-\sqrt{x}{)}^{2}$

$(1-\sqrt{x}{)}^{2}$

eyiliweyouc

Beginner2022-08-01Added 15 answers

This is again a use of FOIL

$(1-\sqrt{x}{)}^{2}$

This term is expanded into

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

Multiply the FIRST terms together

(1)(1) = 1

Multiply the OUTER terms together

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

Now multiply the inner terms together

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

Then multiply the LAST terms together

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

Lastly add the terms together

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

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

$(1-\sqrt{x}{)}^{2}$

This term is expanded into

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

Multiply the FIRST terms together

(1)(1) = 1

Multiply the OUTER terms together

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

Now multiply the inner terms together

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

Then multiply the LAST terms together

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

Lastly add the terms together

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

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

John Landry

Beginner2022-08-02Added 3 answers

$(1-\sqrt{x}{)}^{2}$ is the same as $(1-\sqrt{x})(1-\sqrt{x})$

$(1-\sqrt{x})$

$(1-\sqrt{x})$

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

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

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

$(1-\sqrt{x})$

$(1-\sqrt{x})$

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

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

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

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