a= (2x+1)(4x^2-2x+1)
b= (2x-1)(4x^2+2x+1)
c= (2x+1)(4x^2+2x-1)
d= cannot be factored
2007-01-14 06:40:11 · 11 answers · asked by pkbrauer 1 in Science & Mathematics ➔ Mathematics
When you multiply it out,
a) (2x + 1)(4x^2 - 2x + 1) = 8x^3 + 4x^2 + 2x - 4x^2 - 2x + 1 = 8x^3 + 1
2007-01-14 06:44:29 · answer #1 · answered by Anonymous · 1⤊ 0⤋
a is the answer:
8x^3+1 is the sum of two cubes 2x and 1 which is always factorable.
In general, (a^3 +b^3) = (a+b)(a^2 -ab +b^2)
In the above example, a = 2x and b=1.
2007-01-14 14:53:40 · answer #2 · answered by ironduke8159 7 · 1⤊ 0⤋
a) (2x + 1)(4x^2 - 2x + 1) = 8x^3 - 4x^2 +2x +4x^2 - 2x +1
= 8x^3 + 1
2007-01-14 14:48:30 · answer #3 · answered by Anonymous · 2⤊ 0⤋
a) this is just the sum of cubes factoring!
X^ 3+ Y ^ 3 = (X + Y)(X ^2 - XY + Y^ 2 )
You could always just expand each answer and check!
2007-01-14 14:44:31 · answer #4 · answered by keely_66 3 · 1⤊ 0⤋
You should figure it out knowing that ...that is the sum of two cubes
the factoring pattern is...
a^3+b^3 =(a+b)(a^2-ab+b^2)
a = 2x
b = 1
which fits into the pattern?
2007-01-14 14:47:25 · answer #5 · answered by dla68 4 · 1⤊ 1⤋
The answer is D
When you have a trinomial like this, and the integer is being added (i.e. a + sign), it cannot be factored perfectly. Sure, it CAN be factored, but those answers are messy, and seem to above what you are practicing at this point in time.
2007-01-14 14:46:40 · answer #6 · answered by rawlings12345 4 · 0⤊ 3⤋
what is X representing i did this like 2 weeks ago and got a 100 on it ill tell u the answer
2007-01-14 14:43:55 · answer #7 · answered by hollicrombie 1 · 0⤊ 2⤋
d
2007-01-14 14:48:38 · answer #8 · answered by blondangel252 2 · 0⤊ 2⤋
d
2007-01-14 14:43:29 · answer #9 · answered by feelincrazy 2 · 0⤊ 3⤋
d
2007-01-14 14:43:49 · answer #10 · answered by aeneas 6 · 0⤊ 4⤋