Math, asked by 1SHREYANSH1111, 1 year ago

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Answered by Anonymous
6
Hi there !!
Here's your answer

Given,
to factorise

(x² - y²)z + (y² - z²)x

Multiplying the terms with their corresponding brackets,
we have,

x²z - y²z + xy² - xz²

Regrouping the terms , we have,

x²z - xz² - y²z + xy²

Taking out common factors,
we have,

xz( x - z ) + y²( -z + x)

= xz(x - z) + y² (x - z)

Taking (x - z) as common factor,
we have,

(xz + y²)(x - z) [ Answer ]

Anonymous: :-)
Answered by HappiestWriter012
12
Hey there!

To factorise :

( x² - y² ) z + ( y²-z²)x

= x²z - y²z + y²x -z²x

= x²z - z²x + y² ( x - z)

= xz ( x - z) + y² ( x - z)

= ( x - z) ( xz + y² )


Hope helped !

Anonymous: won't it be (x - z)(x² + yz ) and not (x - z)(x² + xy) ?
HappiestWriter012: Do you think, I did any mistake ?
HappiestWriter012: got ya, thanks
Anonymous: :-)
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