The area of a rectangle is represented by the expression 49x^2 - 121. Which expressions could represent the length and width of the rectangle ?

Question

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Answer 1

49x² - 121

(7x)² - 11²

This is a difference of squares. Use the difference of squares factoring formula:

(7x)² - 11² = (7x+11)(7x-11)

Area = (length)(width), so the expression is (7x+11)(7x-11)