SOLUTION: What is the coefficient of x^2y^5 when (x − 2y)^7 is expanded?
Hint: Remember the −2.
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Question 927998: What is the coefficient of x^2y^5 when (x − 2y)^7 is expanded?
Hint: Remember the −2.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
For the coefficients, use the seventh row of Pascal's triangle , or combinations formula: C(7,n-1)
keep in mind the exponents will have a sum of 7 in each term, and the first factor will decrease in power as the second increases.
Now simplify each term:
so, your coefficient is
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