What will be the expression for the sum of the squares
| What will be the expression for the sum of the squares of the numbers x and y, which is subtracted from the square of their difference?
A. 2x2+2y2−2xy
B. x2+y2−2xy
C. −2xy
D. 2x2+2y2+2xy
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
The sum of square of the numbers x and y
=x2 + y2,
The square of their difference
=(x−y)2.
Hence, the final expression will be
=(x−y)2−(x2+y2)
=x2+y2−2xy−x2−y2
=−2xy