Question

Simplify the expression:

9/16n³ + 3 - 1/8n³
a) 7/16n³ + 3
b) 7/8n³
c) 3/16n³ + 3
d) 7/16n³ - 3

Answer 1

The simplified expression of 9/16n³ + 3 - 1/8n³ is 7/16n³ + 3.

Step-by-step explanation:

To simplify the expression 9/16n³ + 3 - 1/8n³, we combine like terms. The like terms in this case are the terms that contain the variable n raised to the same power.

• Firstly, we can combine the terms containing the variable n:
  9/16n³ - 1/8n³.
  Since 1/8 is half of 1/16, subtracting 1/8n³ from 9/16n³ is the same as subtracting 2/16n³ (because 1/8 is equivalent to 2/16). Therefore, 9/16n³ - 2/16n³ equals 7/16n³.
• Secondly, the constant 3 remains unchanged since there are no other constant terms to combine with.

Thus, the simplified expression is 7/16n³ + 3.