Question

what is the formula of x²-y² ? and why?​

Answer 1

Given:

x²-y²

To Find:

The formula of x²-y²

Solution:

The formula of x²-y² is (x+y)(x-y)

Proof:

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

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

The formula of x²-y² is (x+y)(x-y).

Answer 2

In mathematics, an algebraic expression is a combination of variables and constants, as well as algebraic operations (addition subtraction etc). Terms are the building blocks of expression.

Given:

The given expression is $(x^{2}-y^{2}).$

Formula of $(x^{2} -y^{2})$ is $(x+y)(x-y).$

Prove:

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

Hence proved.

So, the formula of $(x^{2} -y^{2})$ is $(x+y)(x-y).$