SOLUTION: Write and simplify only the specified term: The fourth term of (x + y)^7

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Question 920319: Write and simplify only the specified term:
The fourth term of (x + y)^7

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The fourth term of




The fourth term is

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Write and simplify only the specified term:
The fourth term of (x + y)^7


Use the Binomial Expansion Formula: (a + b)n = nCr-1 * a [n -(r - 1)] * b r - 1 to determine the 4th term
With a = x; b = y ; r, or term number = 4; and n = 7,
(a + b)n = nCr-1 * a [n -(r - 1)] * b r - 1 becomes:
(x + y)7 = 7C4-1 * x [7 -(4 - 1)] * y 4 - 1
(x + y)7 = 7C3 * x 4 * y 3
(x + y)7 = 35x4y3

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