Substitute x = u?/5 °, y = 3, andn = 5 into the formula for (x + y)". ) + sC2 (u?7s)° (3}² + sC3 (u78)² (3)³ + sc_ + 5C, ,7/5 + 5C5 (3)5 Step 3 n! Now use the formula „C, = to find all the binomial coefficients present in the expansion of (n - r)!r! (u75 + 3)". 5! 5C0 5! · 0! = 1 5! 5C1 = 4! · 1! 5! 5C2 = 3! 2! 5! 5C3 = 2! · 3! 5! 5C4 = 1!: 4! = 5 5! 5C5 O! · 5! 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
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q.6 part 3 please answer this by filling in each blank box, thank you.

Step 2
Substitute x = u5, y = 3, and n = 5 into the formula for (x + y)".
(w75 + 3)*
sCo (u75)° + s€; (u7s)@l
(3) + 5C2 (u7/5)° (3)² + 5C3 (u7/5) (3)3 + 5C
sC5 (3)5
= 5-0
Step 3
n!
Now use the formula „C, =
to find all the binomial coefficients present in the expansion of
(n - r)!r!
(75 + ).
5!
5Co =
5! · 0!
= 1
5!
5C1
4!
1!
5!
5C2
%3D
3! · 2!
5C3 =
2!· 3!
5!
5C4 =
1! · 4!
= 5
5C5 =
5!
O! · 5!
Transcribed Image Text:Step 2 Substitute x = u5, y = 3, and n = 5 into the formula for (x + y)". (w75 + 3)* sCo (u75)° + s€; (u7s)@l (3) + 5C2 (u7/5)° (3)² + 5C3 (u7/5) (3)3 + 5C sC5 (3)5 = 5-0 Step 3 n! Now use the formula „C, = to find all the binomial coefficients present in the expansion of (n - r)!r! (75 + ). 5! 5Co = 5! · 0! = 1 5! 5C1 4! 1! 5! 5C2 %3D 3! · 2! 5C3 = 2!· 3! 5! 5C4 = 1! · 4! = 5 5C5 = 5! O! · 5!
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