Question

Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36.

2 open parentheses 13 x plus 5 close parentheses over 5 x minus 9
2 open parentheses x plus 10 close parentheses over x minus 9
quantity 2 x plus 5 over x minus 9
quantity 13 x plus 5 over 5 x minus 9

Answer 1

$\cfrac{2x^2+13x+20}{x^2-5x-36} =\\ \\ \\ \cfrac{2x^2+8x+5x+20}{x^2+4x-9x-36} = \\ \\ \\ \cfrac{2x(x+4)+5(x+4)}{x(x+4)-9(x+4)} =\\ \\ \\ \cfrac{(x+4)(2x+5)}{(x+4)(x-9)} = \\ \\ \\ \cfrac{2x+5}{x-9}$