wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following operations could make the expression x2+8x3 a perfect square?


A

Add(83)2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Add(43)2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

Add(83x)2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

Subtract8x3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
B

Add(43)2


D

Subtract8x3


For making this expression a perfect square,
x2+8x3
=x2+2×43×x (here the (43)2 term is missing which is required to make the expression a perfect square)
So, We should add (43)2
x2+2×43×x+(43)2
(x+43)2
So if the term (43)2 is added, the expression x2+8x3 becomes a perfect square.

Alternatively we can make the expression x2+8x3 equal \(x^2\) (a perfect square) by subtracting the expression 8x3.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE by Completing the Square
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon