Question

What should be added to x²-3a to make it a perfect square?​

Answer 1

Step-by-step explanation:

X(X+a)(X+2a)(X×3a)》X(X+3a)(X+a)(X+2a)

》(X^2+3aX)(X^2+3aX+2a^2)

Let X^2+3aX be Y

Now putting Y in place of X^2+3aX we get

Y(Y+2a^2)》Y^2+2a^2Y, if we add a^4 to this equation we will get Y^2+2a^2Y+a^4 which will be (Y+a^2)^2. It means if we add a^4 to above equation it will be a perfect square.

Hence the answer is a^4