## Elementary Algebra

(4x - 5)(5 - 4x) = -16$x^{2}$ + 40x - 25 Use the distributive property to expand the left side. (4x - 5)(5 - 4x) = 4x$\times$5 - 4x$\times$4x - 5$\times$5 - 5 $\times$ (-4x) = 20x - 16$x^{2}$ - 25 + 20x = 40x - 16$x^{2}$ - 25 Since 40x - 16$x^{2}$ - 25 is equal to -16$x^{2}$ + 40x - 25, this statement is true.