Read the information and then follow the instructions. Given: (25a2+b2)2 Prove: (25a2+b2)2=(25a2−b2)2+(10ab)2 The following table shows steps 1 through 3 of the proof. Statements Reasons 1. (25a2+b2)2 1. Given 2. (25a2+b2)(25a2+b2) 2. Definition of exponent 3. 25a2(25a2+b2)+b2(25a2+b2) 3. Distributive Property For steps 4 through 9, match each numbered statement with the correct reason. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 4. 625a4+25a2b2+25a2b2+b4 5. 625a4+50a2b2+b4 6. 625a4+100a2b2−50a2b2+b4 7. 625a4−50a2b2+b4+100a2b2 8. (25a2−b2)2+100a2b2 9. (25a2−b2)2+(10ab)2
