Simplify the following expression in your notebook. Select the correct answer.
7 - 3[(n3 + 8n) ÷ (-n) + 9n2]
7 - 3[(n^3 + 8n) ÷ (-n) + 9n^2]
7 - 3[-(n^2 + 8) + 9n^2]
7 - 3[8n^2 - 8]
7 - 24n^2 + 24
-24n^2 + 31
Perform the indicated operation.
(r4 - r2 + 4) ÷ (r2 - r + 2)
r² + r - 2
r² + r - 2 R -4r
r² + r - 2 R -4r+8
Simplify
To simplify the given expression, let's break it down step by step.
Step 1: Distribute the negative sign to each term inside the bracket:
7 - 3[(n^3 + 8n) ÷ (-n) + 9n^2]
= 7 - 3[-(n^3 + 8n) ÷ n + 9n^2]
Step 2: Simplify the expression inside the bracket:
= 7 - 3[-n^3/n - 8n/n + 9n^2]
= 7 - 3[-n^2 - 8 + 9n^2]
= 7 - 3[-n^2 + 9n^2 - 8]
Step 3: Combine like terms:
= 7 - 3[8n^2 - n^2 - 8]
= 7 - 3[7n^2 - 8]
Step 4: Distribute the 3 to each term inside the bracket:
= 7 - 21n^2 + 24
Step 5: Combine like terms:
= -21n^2 + 31
So, the simplified expression is -21n^2 + 31.
Hence, the correct answer is -21n^2 + 31.