Do the long division by removing the highest power of x at each stage:
_________________2x_+_6
_______---------------------
_2x-1_|_4x²_+_10x_-_4
_________4x²_-___2x
_________-------------
_________________12x_-_4
_________________12x_-_6
_________________----------
________________________2
→ (4x² + 10x - 4) ÷ (2x - 1) = 2x + 6 remainder 2.
Checking:
(2x + 6)(2x - 1) + 2 = 4x² -2x + 12x - 6 + 2 = 4x² + 10x - 4 = dividend.
There is no simplification because there are no common factors. So the answer is
(x-3)/[2*(2x2-5x+1)]
2
4x2 + 8x + 4 = 4 (x2 + 2x + 1) = 4 (x + 1)2
48x2+139+63 = (3x+7)(16x+9) when factored and worked out with the help of the quadratic equation formula
There is a formula for factoring the "difference of squares." In this case, the answer is (9 - 4x)(9 + 4x)
If that's +14x + 3, the answer is (2x + 3)(4x + 1)
The GCF is 10x.
4x-3+6x+3 4x+6x=10x -3+3=0 10x is the answer!
4x(10x + 1)
10x-7=4x+5 +7 +7 10x=4x+12 -4x -4x 6x=12 /6 /6 x=2
10x + 17 = 4x - 16x = -18x = -3
8x-2x+4x=10x
It is: 10x+14 simplified
10x - 25 = 4x + 510x - 4x = 25 + 56x = 30x = 5
4x+6x=30 is the same as: 10x=30 so we divide by 10 and get: x=3 (I do not see how this relates to calculus, but O.K.)
8x^2 + 6x - 5 = 8x^2 + 10x - 4x - 5 = 2x * (4x + 5) - (4x + 5) = (2x -1) * (4x + 5)
It is: 4x squared
6x+58=10x+14 first move the 58 to the other side by subtracting it. 6x=10x-48 Then you move the 10x to the other side by subtracting it. -4x=-48 Then you divide both sides by -4 x=12 is you answer.