SOLUTION: PLEASE help me. I don't get it at all. I'm desperate :'( I've tried doing it so many time but I just don't get it. :'( a9 - 1 A (a3 - 1)(a6 + a3 + 1) B(a + 1)(a6 + a3 + 1)

Algebra ->  Equations -> SOLUTION: PLEASE help me. I don't get it at all. I'm desperate :'( I've tried doing it so many time but I just don't get it. :'( a9 - 1 A (a3 - 1)(a6 + a3 + 1) B(a + 1)(a6 + a3 + 1)       Log On


   

Question 766755: PLEASE help me. I don't get it at all. I'm desperate :'( I've tried doing it so many time but I just don't get it. :'(
a9 - 1
A (a3 - 1)(a6 + a3 + 1)
B(a + 1)(a6 + a3 + 1)
C(a - 1)(a2 - a - 1)(a6 + a3 + 1)
D(a - 1)(a2 + a + 1)(a6 + a3 + 1)
E (a3 + a + 1)(a6 + a3 + 1)
F cannot be factored

a4 + 3a3+ 27a + 81
A (a2 + 3a - 9)(a2 + 2a + 3)
B(a - 3)(a2 + 3a + 9)
C(a + 3)(a2 + 2a + 3)
D(a + 3)(a2 + 4a + 9)
E [(a + 3)2](a2 - 3a + 9)
F cannot be factored

x8 - 16x4
A x4(x - 2)(x + 2)(x2 + 4)
B(x4 + 4x2)2
C(x4 - 4x2)2
D(x4 + 4x2)(x4 - 4x2)
E x4(x4 - 16)
F cannot be factored
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are special products that are probably shown as formulas in your textbook, and are useful in factoring. Some examples:
Square of a binomial:
%28A%2BB%29%5E2=A%5E2%2B2AB%2BB%5E2 and %28A-B%29%5E2=A%5E2-2AB%2BB%5E2
Cube of a binomial:
%28A%2BB%29%5E3=A%5E3%2B3A%5E2B%2B3AB%5E2%2BB%5E3 and %28A-B%29%5E3=A%5E3-3A%5E2B%2B3AB%5E2-B%5E3
Difference of squares:
%28A%2BB%29%28A-B%29=A%5E2-B%5E2
Sum and difference of cubes:
%28A-B%29%28A%5E2%2BAB%2BB%5E2%29=A%5E3-B%5E3 and %28A%2BB%29%28A%5E2-AB%2BB%5E2%29=A%5E3%2BB%5E3

There is also taking out a common factor (if there is one), and factoring by parts (if applicable).

=highlight%28%28a%5E3-1%29%28a%5E6%2Ba%5E3%2B1%29%29
A highlight%28%28a%5E3-1%29%28a%5E6%2Ba%5E3%2B1%29%29


E x%5E4%28x%5E4+-+16%29 is a factorization, but is not a highlight%28complete%29 factorization, because you can factor further
F cannot be factored

a4+%2B+3a3%2B+27a+%2B+81 can be factored by parts:

At this point, you factor a%5E3%2B3%5E3 as a special product and get

E highlight%28%28%28a+%2B+3%29%5E2%29%28a2+-+3a+%2B+9%29%29