Final answer:
To simplify the expression (3+2)(2-)^2/(3+) and find the conjugate, first, evaluate the numerator and denominator separately. Then, divide the numerator by the denominator by multiplying by its reciprocal. Finally, determine the conjugate by changing the sign of the imaginary part.
Step-by-step explanation:
To simplify the expression (3+2)(2-)^2/(3+), we first evaluate the numerator and denominator separately.
In the numerator, (3+2)(2-)^2 simplifies to 5 x (-2)^2 = 5 x 4 = 20.
In the denominator, (3+) simplifies to 3 + (-2/3) = 9/3 + (-2/3) = 7/3.
Therefore, the simplified expression is 20/(7/3). To divide by a fraction, we multiply by its reciprocal. So, 20/(7/3) becomes 20 x (3/7) = 60/7.
The conjugate of (3+) is (3-). To find the conjugate of a complex number, we change the sign of the imaginary part. Therefore, the conjugate of (3+) is (3-).