Question

Directions: simplify each of the following expressions. 1. -2x 4x2 - 7 - x2 7 - 8x 2. 7ab - bc - 4ab - 5bc 3. 3x2 - 5x 7 2x2 3x - 9 4. 3r 2z 9t 4r - 5s t 5. -5xy 7wz - xy - 5wz 6. 4a - 6b 9a - 3b 7. (-6m n) (-4m - 5n) 8. (9x2 5) (-2x2 - 8) (x2 - 3) 9. 4a (9a 3) 10. 7b (4b - 6) 11. 8d2 (6d2 - 4d) 12. (5x2 4) (-3x2 - 4) 13. [-4x (10 - 5x)] 5x 14. 8 [5 (6 x)] 15. 3c - 7d - 2c 5d - c 8d 4c - 6d 16. 3a 8b - 5c 6a - 9b 4c -7a b 2c 17. 6p - 3q z - 3p 2q - z - p 00q___

Answer 1

Simplifying algebraic expressions requires combining like terms and following arithmetic rules. Multiplication signs between same signs give a positive, and different signs result in negative outcomes. Checking the answer for reasonability ensures accuracy.

Step-by-step explanation:

To simplify algebraic expressions, combine like terms and simplify operations of a according to the order of operations and properties of arithmetic. Multiplication of numbers with the same sign results in a positive product, while numbers with opposite signs result in a negative product. Utilize these basic principles to simplify each expression provided. Remember to check that the simplified answer is reasonable and accurate.