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.
( 5a^2)^2-( 4b)^2
⇕
( 5a^2+ 4b)( 5a^2- 4b)
Therefore, (5a^2+4b) units and (5a^2-4b) units can represent the length and width of the rectangle. This corresponds to the answer B.
Checking Our Answer
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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 rectangle area. Therefore, we can be sure our solution is correct!
