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What is the value of (2 + 3)^3 using the binomial theorem?
What is the value of (2 + 3)^3 using the binomial theorem?
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1 question
Q1
What is the value of (2 + 3)^3 using the binomial theorem?
27
125
216
343
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Using the binomial theorem, (2 + 3)^3 = 5^3 = 125.
Questions & Step-by-step Solutions
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Q
Q: What is the value of (2 + 3)^3 using the binomial theorem?
Solution:
Using the binomial theorem, (2 + 3)^3 = 5^3 = 125.
Steps: 7
Show Steps
Step 1: Identify the expression we need to evaluate, which is (2 + 3)^3.
Step 2: Recognize that 2 + 3 equals 5.
Step 3: Rewrite the expression using the sum we found: (2 + 3)^3 becomes 5^3.
Step 4: Calculate 5^3, which means 5 multiplied by itself three times: 5 * 5 * 5.
Step 5: First, calculate 5 * 5 = 25.
Step 6: Next, multiply 25 by 5: 25 * 5 = 125.
Step 7: Conclude that the value of (2 + 3)^3 is 125.
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