Question:
Square of 9x – 7xy is
(a) 81x2 + 49x2y2
(b) 81x2 – 49x2y2
(c) 81x2 + 49x2y2 –126x2y
(d) 81x2 + 49x2y2 – 63x2y
Solution:
(c) 81x2 + 49x2y2 –126x2y
As per the condition in the question, (9x – 7xy)2
The standard identity = (a – b)2 = a2 – 2ab + b2
Where, a = 9x, b = 7xy
Then,
(9x – 7xy)2 = (9x)2 – (2 × 9x × 7xy) + (7xy)2
= 81x2 – 126x2y + 49x2y2