The simplified form of (x+a)^2 * (x-a)^2 is x^4 - 2ax^2 + a^2.
To simplify (x+a)^2 * (x-a)^2, you can use the FOIL method, which stands for First, Outer, Inner, Last. This means you multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. Then you combine like terms and you will get the simplified form.
Yes, you can expand (x+a)^2 * (x-a)^2 to get the simplified form. This will result in x^4 - 2ax^2 + a^2, which is the same as the simplified form.
Yes, (x+a)^2 * (x-a)^2 and (x^2 + 2ax + a^2) * (x^2 - 2ax + a^2) are equivalent expressions. They both simplify to x^4 - 2ax^2 + a^2.
The simplified form of (x+a)^2 * (x-a)^2 is important because it allows us to quickly and easily perform calculations involving this expression. It also helps us to better understand the relationship between the original expression and its simplified form.