Question

Как получается (х-у)(х+у)+(х-у) =(х-у)(х+у+1) ?

Answer 1

Ответ:

Перемножение и разложение на множители

Пошаговое объяснение:

Answer 2

Solving the Equation (х-у)(х+у)+(х-у)=(х-у)(х+у+1)

To solve the equation (х-у)(х+у)+(х-у)=(х-у)(х+у+1), we can expand the expressions and simplify to find the solution.

Expanding the left-hand side of the equation: (х-у)(х+у) + (х-у) = (х-у)(х+у+1)

Expanding (х-у)(х+у): х^2 - у^2 + ху - ху

Simplifying the terms: х^2 - у^2

Now, adding (х-у) to the above expression: х^2 - у^2 + х - у

So, the left-hand side of the equation becomes: х^2 - у^2 + х - у

Expanding the right-hand side of the equation: (х-у)(х+у+1) = х^2 - у^2 + ху - х - у + у

Simplifying the terms: х^2 - у^2 + ху - х - у + у

So, the right-hand side of the equation also becomes: х^2 - у^2 + ху - х - у + у

Therefore, the left-hand side of the equation is equal to the right-hand side: х^2 - у^2 + х - у = х^2 - у^2 + ху - х - у + у

This shows that the equation (х-у)(х+у)+(х-у)=(х-у)(х+у+1) holds true.

This explanation is based on mathematical principles and does not require external sources for citation.