SOLUTION: My assignment says to "factor each completely" and the first question is {{{27p(squared)-48}}} I have no idea how to factor this or where I should begin. If you could take me step

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: My assignment says to "factor each completely" and the first question is {{{27p(squared)-48}}} I have no idea how to factor this or where I should begin. If you could take me step       Log On


   

Question 959657: My assignment says to "factor each completely" and the first question is 27p%28squared%29-48 I have no idea how to factor this or where I should begin. If you could take me step by step that would be great. thank you for your time.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
(FIXED MISTAKE)

27p%5E2-48

cross%283%2A3%2Ap%2Ap-12%2A4%29
should be 3%2A3%2A3%2Ap%5E2-12%2A4

3%2A3%2A3%2Ap%2Ap-2%2A2%2A3%2A2%2A2

highlight%28%283%29%283%5E2p%5E2-2%5E4%29%29
which allows factoring difference of squares:
highlight%283%283p-4%29%283p%2B4%29%29

The idea is to break every term into its prime factorizations. This allows you to see all possible distributed factors.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
My assignment says to "factor each completely" and the first question is 27p%28squared%29-48 I have no idea how to factor this or where I should begin. If you could take me step by step that would be great. thank you for your time.
27p%5E2+-+48

3%289p%5E2+-+16%29 --------- Factoring out GCF, 3

highlight_green%283%283p+-+4%29%283p+%2B+4%29%29 ---- Factoring 9p%5E2+-+16