Simplify
[tex]\frac{6x^2+13x-5}{6x^2-23x+7}[ /tex]
include an explanation

2x+5/2x-7

Step-by-step explanation:

6x^2+13x-5/6x^2-23x-5 first write as difference

6x^2+15x-2x-5/6x^2-2x-21x+7   factor/factor negative sign

3x times (2x+5)-(2x+5)/2x times (3x-1)-7(3x-1) factor the expression

(2x+5) times (3x-1) / (3x-1) times ( 2x-7)  reduce fraction

simplify/solution

2x+5/2x-7

Hopefully this helps and is right

See below.

Step-by-step explanation:

6x^2 + 13x - 5         (3x - 1)(2x + 5)         2x + 5

  =       =      (answer.)

6x^2 - 23x + 7        (3x - 1)(2x - 7)            2x - 7    

The (3x - 1) is common to both top and bottom of the fraction so it is cancelled out.

The 2 expressions are factored using the 'ac' method.

6x^2 + 13x  - 5:

6 * - 5 = -30 , so we need 2 numbers whose product is -30 and whose sum is + 13.  

These are  + 15 and - 2 so we write the expression as:

= 6x^2 - 2x + 15x - 5     Now factor this by grouping:

= 2x(3x - 1) + 5(3x - 1)

= (3x - 1)(2x + 5).

The other expression is factored in the same way.

mx+89b(-98)nb

step-by-step explanation:

0.038

step-by-step explanation: