1.

Which of the following should be added to make x4 + 64 a perfect square …(1) 4x2(2) 16x2(3) 8x2(4) -8x2

Answer»

(2) 16x2

x2 + 64 = (x2)2 + 82 – 2 x (x2) x 8

= (x2 – 8)2

2 x (x2) x 8 must be added

i.e, 16x2 must be added



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