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