The Binomial Expansion

Edexcel IAL WMA12/01/P2 /June 2022/Q1 (The Binomial Expansion)

Find the first four terms, in ascending powers of x, of the binomial expansion of

2+38x10

Give each coefficient as an integer.​​ 

(4)

SOLUTION​​ 

Using binomial theorem, to find the first four terms of the expression.​​ 

Finding the first four terms separately and will then arrange them in the ascending order of power of x.​​ 

an=10021038x0=1 x 1024 x 1=1024

n1an-1 b=1012938x1= 10×512×38x=1920 x

n2an-2b2=1022838x2=45×256×964x2=1620 x2

n2an-3b3=1032738x3=120×128×278x3=810 x3

2+38x10=1024+1920x+1620x2+810x3+…