Question

Please help me! You have a minimum time of 20 minutes.

Simplify: (x + y)(x + y)

A. x2 + 2xy + y2
B. x2 + y2
C. 2x2 + 2xy + 2y2
D. x2 – y

Which one is the answer?

Answer 1

(A)
`x^(2)+2xy+y^(2)`

Explanation:

The given equation is :

`(x+y)(x+y)`

=
`(x+y)^(2)`

We need to simplify the given equation, so

Using the identity,

`(a+b)^(2)=a^(2)+2ab+b^(2)`, we have

`(x+y)(x+y)`=x^{2}+2xy+y^{2}[/tex]

Which is the required simplified form of the given equation.

Hence, option A is correct.