Question

What is the formula of (x-y)2 ?​

Answer 1

Answer:

Step-by-step explanation:

Answer:

x²+y²-2xy

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Answer 2

The formula for $(x-y)^2 is (x-y)^2 = x^2 - 2xy + y^2.$

It's obtained by expanding the square of a binomial.

It can also be represented as $(x-y)^2 = x^2 - 2xy + y^2$ where x and y are real numbers.

Expanding the square of a binomial is a way of multiplying the binomial by itself. In this case, (x-y) is the binomial and (x-y)^2 is the square of the binomial.

To expand it we use the distributive property which states that for any real numbers a, b, and c $, (a+b)^2 = a^2 + 2ab + b^2.$

In the case of (x-y)^2 , the distributive property is applied twice, once to (x-y) and then again to the resulting binomial.

so $(x-y)^2 = (x-y)(x-y) = x(x-y) - y(x-y)$

By applying distributive property we have  $x^2 - xy - xy + y^2 = x^2 - 2xy + y^2$

As we can see, it's a difference of squares which is a very common pattern in algebra.

Know more from the following links.

brainly.in/question/16766451

brainly.in/question/4211888

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