Equivalent expressions are expressions with the same value.
The proper way to rewrite the equation is: [tex]\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }[/tex]
Jonah's equation is given as:
[tex]\mathbf{(x + y)^2 = x^2 + y^2}[/tex]
To convince Jonah that Jonah's equation is wrong, Graham can do any of the following
- Assume values for x and y
- Expand the equation
Assume value for x and y
Let x = 2 and y = 4
[tex]\mathbf{(2 + 4)^2 = 2^2 + 4^2}[/tex]
[tex]\mathbf{36 = 20}[/tex]
The above equation is false.
So, it means that: [tex]\mathbf{(x + y)^2 \ne x^2 + y^2}[/tex]
Expand the equation
We have:
[tex]\mathbf{(x + y)^2 = x^2 + y^2}[/tex]
Open the bracket
[tex]\mathbf{x^2 + 2xy + y^2 = x^2 + y^2}[/tex]
Cancel out common terms
[tex]\mathbf{2xy = 0}[/tex]
The above equation is false.
So, it means that: [tex]\mathbf{(x + y)^2 \ne x^2 + y^2}[/tex]
The proper way to rewrite the equation is:
[tex]\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/21213498
