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

The expression (x2+4y29z2)216x2y2, is equivalent to

A
(x2y+3z)(2x2y3z)(x2y+3z)(x+2y3z)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(x+2y+3z)(x+2y+3z)(x2y+3z)(x+2y3z)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(x2y+3z)(x+2y3z)(x2y+3z)(x2y3z)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(x+2y+3z)(x+2y3z)(x2y+3z)(x2y3z)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D (x+2y+3z)(x+2y3z)(x2y+3z)(x2y3z)
(x2+4y29z2)216x2y2
=(x2+4y29z2)2(4xy)2
=(x2+4y29z2+4xy)(x2+4y29z24xy)
=(x2+4xy+4y2(3z)2)(x24xy+4y2(3z)2)
=(x2+2(x)(2y)+4y2(3z)2)(x22(x)(2y)+4y2(3z)2)
=((x+2y)2(3z)2)((x2y)2(3z)2)
=(x+2y+3z)(x+2y3z)(x2y+3z)(x2y3z)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Multiplication of Trinomial by a Monomial
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon