what is the
8b^3-1
divided by
2b-1
???
wid details not just ans plz
8b^3-1=(2b)^3-1=(2b-1)((2b)^2+2b+1)
so the answer is
(2b)^2+2b+1 or 4b^2+2b+1
You can put the first number over the second like a fraction and cancel out what you can.
---------
so first you can cancel out the 2 and you are left with 4 on top
b^3-1 and b-1 are both factors and can not be reduced any more.
You are left with 4b^3-1/b-1
Ok, let's see how this one works
dividing (8b^3-1)/(2b-1)
= 4b^2+2b+1
The problem does not ask for roots, so this is where we are stopping.
Good Luck!
8b^3-1 / 2b-1
= 4b^2
8b^3-1/2b-1 = (2b-1) ( 4b^2+2b+1)/2b-1, so that the answer is 4b^2+2b+1
I cannot do your homework for you But you can try to multiply
(x^2 + xy + y^2) * (x - y)
this leads you to the well-known expression
(x^3 - y^3) / (x - y) = x^2 + xy + y^2
which gives the answer to your problem
......... 4b^2-2b+1
......... |---------------------------
2b-1 | 8b^3 + 0b^2 + 0b - 1
............8b^3 - 4b^2
......... --------------------------
................... -4b^2 + 0b - 1
................... -4b^2 + 2b
................... --------------------
............................... 2b - 1
Comments
8b^3-1=(2b)^3-1=(2b-1)((2b)^2+2b+1)
so the answer is
(2b)^2+2b+1 or 4b^2+2b+1
You can put the first number over the second like a fraction and cancel out what you can.
8b^3-1
---------
2b-1
so first you can cancel out the 2 and you are left with 4 on top
b^3-1 and b-1 are both factors and can not be reduced any more.
You are left with 4b^3-1/b-1
Ok, let's see how this one works
dividing (8b^3-1)/(2b-1)
= 4b^2+2b+1
The problem does not ask for roots, so this is where we are stopping.
Good Luck!
8b^3-1 / 2b-1
= 4b^2
8b^3-1/2b-1 = (2b-1) ( 4b^2+2b+1)/2b-1, so that the answer is 4b^2+2b+1
I cannot do your homework for you
But you can try to multiply
(x^2 + xy + y^2) * (x - y)
this leads you to the well-known expression
(x^3 - y^3) / (x - y) = x^2 + xy + y^2
which gives the answer to your problem
......... 4b^2-2b+1
......... |---------------------------
2b-1 | 8b^3 + 0b^2 + 0b - 1
............8b^3 - 4b^2
......... --------------------------
................... -4b^2 + 0b - 1
................... -4b^2 + 2b
................... --------------------
............................... 2b - 1
............................... 2b - 1