Find the mean proportional of (x + y)4 and (x - y)4.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. (x2 - y2)2.
Concept used:
Mean proportion of a and b, x = √ab
Calculations:
The mean proportional of (x + y)4 and (x - y)4
= √[(x + y)4 × (x - y)4]
= (x + y)2 × (x - y)2
= [(x + y) × (x - y)]2
= (x2 - y2)2