Question

x(x+z)-y(y+z) factorize

Answer 1

Hope u like my process
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x(x+z) - y(y+z)

= x² +xz - y² - yz

= x² - y² + xz - yz

= (x + y)(x - y) + z(x - y)
__[since x² - y² =(x+y) (x-y)] ___

=(x-y) {(x+y) +z}
__[taking (x-y) common] __

= (x - y) (x+y+z)

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Hope this is ur required answer
Proud to help you

Answer 2

Hi Friend !!!!

Here is ur answer !!!

x(x+z)-y(y+z)

= x²-y²+xz-yz

= (x-y) (x+y)+z(x-y)

= (x-y) {x+y+z}


Hope it helps u : )