SOLUTION: Factor the expression by grouping. A step by step and explanation would be greatly appreciated. 24q^7 – 42q^4r + 36q^3r^2 – 63r^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the expression by grouping. A step by step and explanation would be greatly appreciated. 24q^7 – 42q^4r + 36q^3r^2 – 63r^3       Log On


   

Question 394399: Factor the expression by grouping. A step by step and explanation would be greatly appreciated.

24q^7 – 42q^4r + 36q^3r^2 – 63r^3

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

24q%5E7-42q%5E4r%2B36q%5E3r%5E2-63r%5E3 Start with the given expression


%2824q%5E7-42q%5E4r%29%2B%2836q%5E3r%5E2-63r%5E3%29 Group like terms


6q%5E4%284q%5E3-7r%29%2B9r%5E2%284q%5E3-7r%29 Factor out the GCF 6q%5E4 out of the first group. Factor out the GCF 9r%5E2 out of the second group


%286q%5E4%2B9r%5E2%29%284q%5E3-7r%29 Since we have the common term 4q%5E3-7r, we can combine like terms


So 24q%5E7-42q%5E4r%2B36q%5E3r%5E2-63r%5E3 factors to %286q%5E4%2B9r%5E2%29%284q%5E3-7r%29


In other words, 24q%5E7-42q%5E4r%2B36q%5E3r%5E2-63r%5E3=%286q%5E4%2B9r%5E2%29%284q%5E3-7r%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim