# How do you factor #3b ^ { 2} - 48b + 189#?

##### 2 Answers

Feb 15, 2018

taking 3 as a common factor.,

Feb 15, 2018

#### Explanation:

#"take out a "color(blue)"common factor of 3"#

#rArr3(b^2-16b+63)larrcolor(blue)"factor the quadratic"#

#"the factors of + 63 which sum to - 16 are - 9 and - 7"#

#rArr3(b-9)(b-7)#

#rArr3b^2-48b+189=3(b-9)(b-7)#