Question

For making (x4 - 11x²y2 + y4) a perfect square,
the expression to be added is :
(A) 5x²y2
(B) 9x²y2
(C) -5x²y2
(D) 7x2y
explaine briefly ​

Answer 1

Answer:

B - 9x²y²

Step-by-step explanation:

Given expression is

x⁴ - 11x²y² + y⁴

= x⁴ + y⁴ - 11x²y²

= (x² - y²)² + 2x²y² - 11x²y²

= (x² - y²)² - 9x²y²

So when 9x²y² is added to the given expression, we obtain a perfect square