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Question

Find and correct the errors (if any) in the following expressions:

i.)(5x2)2=25x2+420x

ii.)(3x+2)2=3x2+6x+4


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Solution

Using the identities (a)22×a×b+(b)2=(ab)2 and (a)2+2×a×b+(b)2=(a+b)2

i.)(5x2)2=25x2+420x is correct and there is no error.

ii.)(3x+2)2=3x2+6x+4 is wrong .

The correct equation is
(3x+2)2=9x2+12x+4.

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