Look for common factors, then eliminate them from the top and the bottom. In this case, the common factor is "x".
To simplify (3x \cdot 2x), you multiply the coefficients (3 and 2) and the variables (x and x). This results in (3 \cdot 2 \cdot x \cdot x = 6x^2). Therefore, the simplest form of (3x \cdot 2x) is (6x^2).
3x(2x + 1) over (2x - 1)(2x + 1) Cancel out the 2x + 1 Answer: 3x/2x - 1
2x+12-3x = 5 2x-3x = 5-12 x = -7
2x-3x = -1
2x + 3x = 5x
As written, that's -x - 2, which is in its simplest form. 2x^2 - 3x - 2 = (2x + 1)(x - 2)
To simplify (3x \cdot 2x), you multiply the coefficients (3 and 2) and the variables (x and x). This results in (3 \cdot 2 \cdot x \cdot x = 6x^2). Therefore, the simplest form of (3x \cdot 2x) is (6x^2).
3x(2x + 1) over (2x - 1)(2x + 1) Cancel out the 2x + 1 Answer: 3x/2x - 1
3/x2
2x+12-3x = 5 2x-3x = 5-12 x = -7
If 3X - 4 ------ = 0 1-2X-4 So 3X - 4 ----- = 0 [ x (2X-3) ] 2X-3 3X-4 = 2X-3 [ -2X ] X - 4 = -3 [ +4 ] X= 1
3x - 2 is in its simplest form.
x2/(3x2 - 5x - 2) - [2x/ (3x + 1)][1/(x - 2)] = x2/(3x2 - 6x + x - 2) - 2x/(3x + 1)(x - 2) = x2/[3x(x - 2) + (x - 2)] - 2x/(3x + 1)(x - 2) = x2/(3x + 1)(x - 2) - 2x/(3x + 1)(x - 2) = (x2 - 2x)/(3x + 1)(x - 2) = x(x - 2)/(3x + 1)(x - 2) = x/(3x + 1)
2x + 3x = 5x.
2x-3x = -1
2x - 3x = -x
2x + 3x = 5x