Recall the formula to factor a difference of squares.
a^2- b^2 ⇔ ( a+ b)( a- b)
We can apply this formula to our expression.
( r^2)^2-( k^2)^2 ⇔ ( r^2+ k^2)( r^2- k^2)
Now, let's take a look at the expression r^2-k^2. It is already written as a difference of two perfect squares, so we can use the above formula once again.
(r^2+k^2)( r^2- k^2)
⇕
(r^2+k^2)( r+ k)( r- k)
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We can apply the Distributive Property and compare the result with the given expression.
After applying the Distributive Property and simplifying, the result is the same as the given expression. Therefore, we can be sure our solution is correct!
