CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Factorize (ax+by)2+(bxay)2 by the grouping method

A
(x2+y2)(a2+b2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(2x2+y2)(a2+b2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(2x2+y2)(2a2b2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(x2+2y2)(a2b2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (x2+y2)(a2+b2)
(ax+by)2+(bxay)2
=[(ax)2+2(ax)(by)+(by)2]+[(bx)22(bx)(ay)+(ay)2]
=a2x2+2abxy+b2y2+b2x22abxy+a2y2
=a2x2+a2y2+b2y2+b2x2
=a2(x2+y2)+b2(x2+y2)
=(x2+y2)(a2+b2)

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Related Videos
thumbnail
lock
Method of Identities
MATHEMATICS
Watch in App