After the fraction x plus 2 all over 2 minus the fraction x plus 1 all over 3 x have been combined using the least common denominator of 6x, what is the numerator?A. 3x2 + 4x + 1B. 3x2 + 4x − 2C. −3x2 − x + 4D. −x2 + 3x + 4
Accepted Solution
A:
Let's work out the process to find the numerator: (x+2)/2 - (x+1)/3x Factor using the LCD, 6x 3x(x+2)/6x - 2(x+1)/6x (3x² + 6x - 2x - 2)/6x = (3x² + 4x - 2)/6x