SOLUTION: I'm not sure how to solve this. It's asking me to factor the expression. The expression it's asking me to factor is: 54x^2 +81x +30 and it's also asking me to factor a seco

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Question 941153: I'm not sure how to solve this. It's asking me to factor the expression.
The expression it's asking me to factor is:
54x^2 +81x +30
and it's also asking me to factor a second expression
-216x^3 + 1
If you could give me some insight on how to factor these two problems you'd be a huge help! Thank you!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The second expression is the difference of cubes. You can look for the formula or try to derive it.

The first expression best managed by factoring each term completely, first.



You can try searching for combinations, but I will use the Discriminant.
Discriminant, , which means the roots of the quadratic part are and ;
and ;
and ;
Whole factorization therefore, .
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

I'm not sure how to solve this. It's asking me to factor the expression.
The expression it's asking me to factor is:
54x^2 +81x +30
and it's also asking me to factor a second expression
-216x^3 + 1
If you could give me some insight on how to factor these two problems you'd be a huge help! Thank you!




 ------------- Factoring out GCF, 3

 -------- Replacing 27x with + 12x + 15x 

3[6x(3x + 2) + 5(3x + 2)] ---- Factoring out GCF from 



Is the second expression: , or ? I might be able to help you (time constraints) if you respond. 

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