solve Find the product or quotient 25m 1505m 35 m2 36m2

solve

Find the product or quotient 25m - 150/5m - 35 m^2 - 36/m^2 - 2m - 35 25m - 150/5m - 35 m^2 - 36/m^2 - 2m - 35 =

(25m -150)/(5m -35) / (m^2 - 36)/(m^2 - 2m -35)

factorise the numerator and denominator :

(25m -150)/(5m -35) = 25(m - 6)/5(m -7)

(m^2 -36)/(m^2 -2m -35)= (m+6)(m-6)/(m^2 -7m +5m -35)

= (m+6)(m -6)/(m +5)(m -7)

Now, divide the numerator and den., cancelling out common factors

(2m -150)/(5m -35) / (m^2 - 36)/(m^2 - 2m -35)

= 25(m - 6)/5(m -7) / (m+6)(m -6)/(m +5)(m -7)

= 25(m-6)(m+5)(m-7)/5(m-7)(m+6)(m-6)

= 5(m+5)/(m+6)