wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Coefficient of x4 in the expansion of 1(x+1)(x+2) is

A
132
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1132
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2132
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3132
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 3132
Given, 1(x+1)(x+2)
=x+2(x+1)(x+1)(x+2)
=1x+11x+2
=(1+x)1(2+x)1
=(1+x)112(1+x2)1
Hence coefficient of x4 will be
n(n1)(n2)(n3)4!12n(n1)(n2)(n3)4!124
=1(2)(3)(4)4!1251(2)(3)(4)4!
=4!4!1324!4!
=1132
=3132

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Arithmetic Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon