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

Simplify: (a+2b+3c)2 - (a-2b-3c)2 - 6b2 - 9bc

Open in App
Solution

(a+2b+3c)2 - (a-2b-3c)2 - 6b2 - 9bc = (a+2b+3c+a-2b-3c)(a+2b+3c-a+2b+6c) - 3b(2b+3c) { x^2 - y^2 = (x+y)(x-y) ; Here, x = a+2b+3c and y = a-2b-3c}
= (2a)(2b+6c)-3b(2b+3c)
= 4ab+12ac-3b(2b+3c)
= 4a(b+3c)-3b(2b+3c)

flag
Suggest Corrections
thumbs-up
33
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
(x+a)(x+b)
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon