Question

TRUE OR FALSE
(x-y) (x+Y) = x^2- y^2​

Answer 1

Given: Given expression is

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

To find: We have to find if it is true or not.

Solution:

The given expression has a multiplication between (x+y) (x-y).

We have to prove that the result of multiplication is $x^2-y^2$.

Multiplying (x+y) (x-y) we get-

$(x + y)(x - y) \\ = {x}^{2} + xy - xy - {y}^{2} \\ = {x}^{2} - {y}^{2}$

So, the above expression is true.