Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 515: 43

$24x^{2}$ + 58x -65

Work Step by Step

Given the areas, we subtract both areas by one another. ($25x^{2}$ + 40x + 16)-($x^{2}$ - 18x + 81) We distribute the negative sign to the second bracket and get $25x^{2}$ + 40x + 16 - $x^{2}$ + 18x - 81 We add like terms together to simplify the polynomial. $25x^{2}$ - $x^{2}$ + 18x + 40x + 16 - 81 $24x^{2}$ + 58x - 65

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