Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises - Page 575: 25

$= \frac{(2x+5)}{(x-7)}$

$\frac{2x^{2}-23x-70}{x^{2}-21x+98}$ $= \frac{2x^{2}-23x-70}{x^{2}-21x+98}$ $= \frac{2x^{2}-28x+5x-70}{x^{2}-14x-7x+98}$ $= \frac{2x(x-14)+5(x-14)}{x(x-14)-7(x-14)}$ $= \frac{(2x+5)(x-14)}{(x-7)(x-14)}$ $= \frac{(2x+5)}{(x-7)}$