Answer :
it is the difference of two squares. so u first do the square root of each term then set one positive and one negative within 2 factors
The expression [tex]16x^2\ - \169y^2[/tex] is a difference of squares and is factored as (4x - 13y)(4x + 13y), representing two intersecting lines.
To factor the expression [tex]16x^2-169y^2[/tex], we can recognize that it's a difference of squares. A difference of squares is factored as [tex](a^2 - b^2) = (a - b)(a + b)[/tex]. In this case, [tex]16x^2[/tex] is the square of 4x, and [tex]169y^2[/tex] is the square of 13y. Therefore, the factored form of [tex]16x^2-169y^[/tex]2 is:
- (4x - 13y)(4x + 13y)
Each binomial represents a line, and this form shows the two lines that, if graphed, would intersect at the points which satisfy both equations x = ±(13y/4).
