(3z+5yz+3y)-(2yz-5z²-17z)= (10t⁵-5t¹¹) (10t³+2t²)=

Let's simplify each expression step by step. 1. **Simplifying \( (3z + 5yz + 3y) - (2yz - 5z^2 - 17z) \):** First, distribute the negative sign across the second set of parentheses: \[ (3z + 5yz + 3y) -2yz + 5z^2 + 17z \] Now, combine like terms: \[ 3z + 17z + 5z^2 + 5yz - 2yz + 3y \] This simplifies to: \[ (3z + 17z) + 5z^2 + (5yz - 2yz) + 3y = 20z + 5z^2 + 3y + 3yz \] So, the final answer is: \[ 5z^2 + 20z + 3y + 3yz \] 2. **Simplifying \( (10t^5 - 5t^{11}) (10t^3 + 2t^2) \):** Use the distributive property (FOIL method): \[ = 10t^5 \cdot 10t^3 + 10t^5 \cdot 2t^2 - 5t^{11} \cdot 10t^3 - 5t^{11} \cdot 2t^2 \] Calculating each term, we have: - \( 10t^5 \cdot 10t^3 = 100t^{8} \) - \( 10t^5 \cdot 2t^2 = 20t^{7} \) - \( -5t^{11} \cdot 10t^3 = -50t^{14} \) - \( -5t^{11} \cdot 2t^2 = -10t^{13} \) Now, combining all these terms, we get: \[ -50t^{14} - 10t^{13} + 20t^7 + 100t^8 \] Therefore, the final result is: \[ -50t^{14} - 10t^{13} + 100t^8 + 20t^7 \] So, your final answers are: 1. \( 5z^2 + 20z + 3y + 3yz \) 2. \( -50t^{14} - 10t^{13} + 100t^8 + 20t^7 \)