CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a+b+c=3, then find the value of 1(1-a)(1-b)+1(1-b)(1-c)+1(1-c)(1-a).


Open in App
Solution

Find the required value:

Given: a+b+c=3……………( 1)

1(1-a)(1-b)+1(1-b)(1-c)+1(1-c)(1-a)

Taking LCM :

=(1-c)+(1-a)+(1-b)(1-a)(1-b)(1-c)=3-(a+b+c)(1-a)(1-b)(1-c)

From equation 1 we have a+b+c=3So

=3-3(1-a)(1-b)(1-c)=0

Hence the value of 1(1-a)(1-b)+1(1-b)(1-c)+1(1-c)(1-a) is 0.


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