What is to be added to (4x^2 - 12xy) to make the sum a perfect square?
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4x^2 +12x+5=4[x2 +3x+( 45 )]=4[(x+(
2
3
)
2
−(
2
3
)
2
+(
4
5
))]
=4[(x+(
2
3
)
2
−(
4
4
))]
=4(x+(
2
3
)
2
−4)
hence4mustbeadded
tomakeitperfectsquare.
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