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

(3y+12b)(5a−b)(y+4b)(25a2−b2)=

A
35a-b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
35a+b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
33a+b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
55a+b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A 35a-b
B 35a+b
Given, the expression is
(3y+12b)(5a−b)(y+4b)(25a2−b2).

The numerator can be written as,
(3y+12b)(5a−b)
=3(y+4b)(5a−b). . .(i)

Applying the identity
a2−b2=(a+b)(a−b),
in the denominator, we get,
(y+4b)(5a+b)(5a−b). . .(ii)

Hence, from (i) and (ii),

(3y+12b)(5a−b)(y+4b)(25a2−b2)=3(y+4b)(5a−b)(y+4b)(5a+b)(5a−b)

=35a+b.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Division of Algebraic Expressions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon