1. **State the problem:** Simplify the expression $9b42g3 \times 4g43b2$. 2. **Identify the terms:** The expression appears to be a multiplication of two terms with variables and numbers: $9b42g3$ and $4g43b2$. 3. **Rewrite the terms clearly:** Assuming the variables are $b$ and $g$, and the numbers are coefficients, rewrite as: $$9 \times b \times 42 \times g \times 3 \times 4 \times g \times 43 \times b \times 2$$ 4. **Group coefficients and variables:** - Coefficients: $9, 42, 3, 4, 43, 2$ - Variables: $b, b, g, g$ 5. **Multiply coefficients:** $$9 \times 42 = 378$$ $$378 \times 3 = 1134$$ $$1134 \times 4 = 4536$$ $$4536 \times 43 = 195048$$ $$195048 \times 2 = 390096$$ 6. **Multiply variables:** $$b \times b = b^{2}$$ $$g \times g = g^{2}$$ 7. **Combine all:** $$390096 b^{2} g^{2}$$ **Final answer:** $$390096 b^{2} g^{2}$$