Final answer:
You simplify the expression (32(x+2))/(8(x+2)(3x+2)) by canceling out the common factor (x+2), then simplifying 32/8 to 4, resulting in the simplified form 4/(3x+2).
Step-by-step explanation:
The question asks us to multiply and simplify the expression (32(x+2))/(8(x+2)(3x+2)). To do this, you can cancel out the common factors in the numerator and the denominator. Here, both the numerator and the denominator have the factor (x+2). Thus, you can simplify the expression by canceling this common factor.
After canceling out (x+2), you are left with 32/8(3x+2). You can further simplify 32/8, which is 4. So, the expression simplifies to 4/(3x+2).
This multiplication and simplification process involves skills typically covered in high school algebra.