SOLUTION: Factor 24b^2-150

Algebra.Com
Question 705185: Factor 24b^2-150
Answer by lenny460(1073)   (Show Source): You can put this solution on YOUR website!
Factor 24b^2-150
Divide each term by 6
24b^2 / 6 = 4b^2
-150 / 6 = -25
Therefore we now have:
6(4b^2 - 25)
4b^2 - 25 is a perfect square.
We factor the difference of two squares:
4b^2 - 25 = (2b - 5)(2b + 5)

Therefore the answer is:

6(2b - 5)(2b + 5)



Lennox Obuong
Algebra Tutor

RELATED QUESTIONS

Factor... (answered by nerdybill)
factor... (answered by haileytucki)
Factor. a^2 - 5ab - 24b^2 (answered by ewatrrr)
8b^2+24b+18 (answered by jim_thompson5910)
8b^2+24b+18= (answered by Alan3354)
8b^2+24b+18 (answered by jim_thompson5910)
Factor each polynomial as completely as possible. Please help me understand. thanks! (answered by ptaylor)
Factor completely if it is a prime say so.... (answered by josmiceli)
Factor 6b^2-24b+24=? The correct answer is 6 (b-2)^2 but can you... (answered by ankor@dixie-net.com,Theo)