SOLUTION: Hi, could you please help me solve this question, thanks. Factor each trinomial: 144x^2 - 64m^2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi, could you please help me solve this question, thanks. Factor each trinomial: 144x^2 - 64m^2       Log On


   

Question 701666: Hi,
could you please help me solve this question, thanks.
Factor each trinomial:
144x^2 - 64m^2
Found 2 solutions by jim_thompson5910, mouk:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
144x%5E2-64m%5E2 Start with the given expression.


16%289x%5E2-4m%5E2%29 Factor out the GCF 16


16%283x-2m%29%283x%2B2m%29 Now use the difference of squares rule to factor

Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
You should memorize the result:
+a%5E2-b%5E2=%28a%2Bb%29%28a-b%29+

This is of this form, as:
+144x%5E2+-+64m%5E2+=+%2812x%29%5E2+-+%288m%29%5E2+=+%2812x%2B8m%29%2812x-8m%29+