Math, asked by nayakatishay1448, 1 year ago

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

Answers

Answered by misha48
1

this is your right answer .plz mak me .
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Answered by anujyadav31
6

Step-by-step explanation:

x(x + z) - y(y + z) \\  =  {x}^{2 } + zx -  {y}^{2}   - zy \\  =  {x}^{2}   -  {y}^{2}   +  zx - zy \\  {x}^{2}  -  {y}^{2}  = zx - zy \\  \\ ( {x}^{2}  -  {y}^{2} ) = z(x - y) \\ (x - y)(x + y) = z(x - y) \\  \\ z = (x + y).

hope it help you

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