Question

which term shoud be added to 25 49y^2 so that the sum will be a perfect square ?​

Answer 1

Answer:

We should notice that the polynomial has a positive middle term, which implies that we should end up with (a+b)2 format.

9x4+2x2+25

(3x2)2+(5)2+2x2

We have already made up a2 and b2 , we just need to make the middle term accordingly to turn it into a perfect square.

(3x2)2+2.3x2.5+(5)2−28x2

(3x2+5)2−28x2

Thus, if we add 28x2 to the polynomial, it will turn into a perfect square.

Cheers :)