Final answer:
To simplify the numerator of the expression y=(3x-2)^2/√(2x-3), expand the square in the numerator and simplify the expression.
Step-by-step explanation:
To simplify the numerator of the expression y=(3x-2)^2/√(2x-3), we need to expand the square in the numerator and simplify the expression. Here are the steps:
- Expand the square: (3x-2)^2 = (3x-2)(3x-2)
- Foil the expression: (3x-2)(3x-2) = 9x^2 - 6x - 6x + 4 = 9x^2 - 12x + 4
- Now we can substitute the simplified numerator back into the original expression: y = (9x^2 - 12x + 4)/√(2x-3)