SOLUTION: Will somepne please help me solve this problem? fector completely: y^3-27

Question 110148: Will somepne please help me solve this problem? fector completely: y^3-27
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You first need to realize that the problem is the difference of two cubes, i.e. the cube root of is exactly y, and the cube root of 27 is exactly 3.
:
The factorization of the difference of two cubes follows this pattern:

:
So, substituting:
:

:
Which is the final answer because neither of the factors can be factored any further. How can you tell? Look at the second factor,, then calculate where a, b, and c are the coefficients of the first, second, and third terms -- in this case, they are 1, 3, and 9. In this case is a negative number. Anytime is negative or not a perfect square, then the expression cannot be factored.
:
By the way, the sum of two cubes is factored as follows:

RELATED QUESTIONS
will you please help me solve this problem? y-2=... (answered by robertb)

Please help me solve this problem. simplify: 5 radical 27-radical 12-6 radical... (answered by stanbon)

Please help me solve this expression:... (answered by stanbon)

Please help me solve this equation. The problem states : factor completely... (answered by stanbon)

Please help me solve simplify this radical: 27^-2/3 /... (answered by Simeonkay)

Please help me solve this problem. factor completely: solve:... (answered by josmiceli)

Please help me solve this problem. factor completely: solve:... (answered by scott8148)

Factor completely: 27-8u^3 Can you please show me how to work this problem? Thank... (answered by Earlsdon,mananth)

my worksheet says to solve this problem, could you please help me? thank you... (answered by Nate)