Is this statement true
(x + y)^2 = x^2 + y^2
If not then is there a way to expand that at all?
Multiply x+y by itself and see if you get x^2 + y^2
(x+y)^2 = x^2 + 2xy + y^2
(x+y)^2 = x^2 + 2xy + y^2
This is what I got too.
No, the statement (x + y)^2 = x^2 + y^2 is not true in general. This is because of the expanding and simplifying process when squaring the binomial.
To demonstrate this, let's expand and simplify both sides of the equation:
First, we'll expand (x + y)^2 using the formula for squaring a binomial:
(x + y)^2 = x^2 + 2xy + y^2
Now let's compare this with the right side of the equation, which is x^2 + y^2. As you can see, the expanded form of (x + y)^2 has an additional term of 2xy compared to the right side x^2 + y^2.
Therefore, (x + y)^2 is not equal to x^2 + y^2 in general.
If you encounter similar equations, always remember the formula for squaring a binomial: (x + y)^2 = x^2 + 2xy + y^2. This will help you accurately expand and simplify the expression.