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

If x=a+bab,y=aba+b then the value of x2+xy+y2 is

A
4(ab)(a+b)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4(a+b)(ab)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2(a+b)ab
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3(a+b)2+4ab(ab)2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is C 3(a+b)2+4ab(ab)2
Multiply(a+b)inbothnumeratoranddenomiratorinxandmultiply(ab)inbothnumeratordenomiratorinyweget.x=a+b+2abab,y=a+b2ababx2+y2+xy=(a+b+2abab)2(a+b2abab)+(a+b+2abab)(a+b2abab)=(a+b)2+4ab+4ab(a+b)(ab)2+(a+b)2+4ab2ab(a+b)(ab)2+(a+b)24ab(ab)2=3(a+b)2+4ab(ab)2Thiswillbethewriteanswar

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