In the expansion of , the greatest coefficient is_____.
Question
In the expansion of , the greatest coefficient is_____.
Solution
To find the greatest coefficient in the expansion of a given expression, we need to determine the term with the highest coefficient.
Step 1: Identify the expression for which we want to find the greatest coefficient.
Step 2: Expand the expression using a suitable method, such as the binomial theorem or the distributive property.
Step 3: Once the expression is expanded, examine each term and identify the coefficient of each term.
Step 4: Compare the coefficients of all the terms and determine the term with the highest coefficient.
Step 5: The coefficient of the term with the highest coefficient is the greatest coefficient in the expansion of the given expression.
Similar Questions
Consider the expansion of (𝑥 + 2𝑦 + 3𝑧 + 4𝑤)18?a) Find the coefficient of 𝑥6𝑦3𝑧4𝑤5.b) Find the sum of all coefficients in the expansion.c) How many terms are in the expansion?
Leading Coefficient
What is the coefficient of the 4th term (𝑥2𝑦3) in the expansion of (𝑥 − 3𝑦)5a. 270b. 190c. −270d. 720
Let coefficient of x4 and x2 in the expansion of is α and β then α – β is equal to
The coefficient of x5in the expansion of (2x + 5)8is:
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