Example 1. Simplify :(i) (x + 2y + 3z) + (2x + 3y – 2z)(ii) (2x + 3y + 4z) – (x – 4y – 3z) About the author Abigail
Answer: i) 3x + 5y + z ii) x + 7y + 7z Step-by-step explanation: i) (x + 2y + 3z) + (2x + 3y – 2z) = x + 2y + 3z + 2x + 3y – 2z = (x+2x) + (2y+3y) + (3z-2z) = 3x + 5y + z (Ans) ii) (2x + 3y + 4z) – (x – 4y – 3z) = 2x + 3y + 4z – x + 4y + 3z = (2x – x) + (3y + 4y) + (4z + 3z) = x + 7y + 7z (Ans) Reply
Answer:
i) 3x + 5y + z
ii) x + 7y + 7z
Step-by-step explanation:
i) (x + 2y + 3z) + (2x + 3y – 2z)
= x + 2y + 3z + 2x + 3y – 2z
= (x+2x) + (2y+3y) + (3z-2z)
= 3x + 5y + z (Ans)
ii) (2x + 3y + 4z) – (x – 4y – 3z)
= 2x + 3y + 4z – x + 4y + 3z
= (2x – x) + (3y + 4y) + (4z + 3z)
= x + 7y + 7z (Ans)