Question : Expand and simplify $(x+4)^2+(x-2)^2$.
Option 1: $2(x^2+2x+10)$
Option 2: $2(x^2+2x-10)$
Option 3: $2(x^2-2x+10)$
Option 4: $2(x^2-2x-10)$
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Correct Answer: $2(x^2+2x+10)$
Solution :
Given: $(x+4)^{2}+(x-2)^{2}$
$=(x^{2}+4^{2}+8x)+(x^{2}+2^{2}-4x)$
$=2x^{2}+20+4x$
$=2(x^{2}+2x+10)$
Hence, the correct answer is $2(x^2+2x+10)$.
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