pre cal simplify

Question

2m²-7m-15               9-4m²

                   divide                * (3-2m)

2m²-10m                    6

Answer 1

(2m²-7m-15)/(9-4m²)

 

To factor the numerator take the coefficient of the highest term (2, from 2m²) and

multiply it by the constant (-15) ..   2(-15) = -30

Look for factors of -30 that add to the coefficient (-7) of the m term

(-10)(3) are the applicable factors

Replace the -7m with -10m + 3m and factor by grouping

 

(2m²-7m-15) = 2m² -10m + 3m -15 = 2m(m-5) + 3(m-5) = (2m+3)(m-5)

 

Factoring the denominator we have the difference of two squares

9-4m² = 3² - (2m)² = (3-2m)(3+2m)

 

combining back together we have

 

[(2m+3)(m-5)][(2m+3)(-2m+3)] = (m-5)/(-2m+3)

 

 

***************

 

Where does the *(3-2m) fit into the problem?  Your format is unclear

 

If it is on the numerator of this problem then we have...

 

[(m-5)(3-2m)]/(3-2m) = m-5

 

 ******************************************

 

(2m²-10m)/6 = 2m(m-5)/6 = [m(m-5)]/3

 

If this is supposed to go together in another manner.... I apologize