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
A polynomial is in simplest form when it is expressed with no like terms and no factors that can be further simplified. For example, the polynomial ( 3x^2 + 5x - 2 ) is in simplest form because it cannot be factored or combined further. In contrast, ( 6x^2 + 3x - 1 + 2x^2 ) can be simplified to ( 8x^2 + 3x - 1 ), which is its simplest form. To determine if a polynomial is in simplest form, check for like terms and factorability.
2x+12-3x = 5 2x-3x = 5-12 x = -7
2x-3x = -1
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
A polynomial is in simplest form when it is expressed with no like terms and no factors that can be further simplified. For example, the polynomial ( 3x^2 + 5x - 2 ) is in simplest form because it cannot be factored or combined further. In contrast, ( 6x^2 + 3x - 1 + 2x^2 ) can be simplified to ( 8x^2 + 3x - 1 ), which is its simplest form. To determine if a polynomial is in simplest form, check for like terms and factorability.
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
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)
3x - 2 is in its simplest form.
2x + 3x = 5x.
2x-3x = -1
2x - 3x = -x