Which term shoud be added to 25x2 + 49y2 so that the sum will perfect square
(Choose two correct alternatives )
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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.
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