Question

factorise
(x square -2xy +y square) - z square

Answer 1

$\huge \color{red} \boxed{ \ulcorner Answer: \urcorner}$



$\large\boxed{FACTORISE:-)}$


$\large \bf = ( {x}^{2} - 2xy + {y}^{2} ) - {z}^{2} .$


Using Identity :-

( a² - 2ab + b² ) = ( a - b )².



$\large \bf = {(x - y)}^{2} - {(z)}^{2} .$


Using Identity :-


a² - b² = ( a + b ) ( a - b ).



$\large \bf = ((x - y) + z)(x - y) - z).$



$\huge \boxed{ = (x - y + z)(x - y - z)}$


✅✅Hence, it's factorised ✅✅.


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$\huge \color{yellow} \boxed{ \ulcorner THANKS \urcorner}$




$\huge \color{blue} \bf{ \#BeBrainly.}$

Answer 2

$<b >➡ hey here is your answer$
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$\huge\color{lightgreen} {\boxed{\underline{\bold{factorise \: -}}}}$

$\color{lightgreen} {\underline{\bold{ ( x^2 - 2xy - y^2 ) - z^2}}}$

$\color{pink} {\boxed{\underline{\bold{Answer \: = }}}}$

➡ (x² - 2xy + y²) -z²
= (x² - xy - xy + y²) -z²
= [x ( x-y ) - y ( x -y ) ] -z²
= [ (x-y)(x-y) ] - z²
= (x-y)² - z²
= (x-y-z) (x-y+z)

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➡ hope this helps you

➡ ### BE BRAINLY ###