Question : The simplified form of $(x+3)^2+(x-1)^2$ is:
Option 1: $(x^2+2x+5)$
Option 2: $2(x^2+2x+5)$
Option 3: $(x^2-2x+5)$
Option 4: $2(x^2-2x+5)$
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Correct Answer: $2(x^2+2x+5)$
Solution :
Given: $(x+3)^{2}+(x-1)^{2}$
$=(x^{2}+9+6x)+(x^{2}+1-2x)$
$=2x^{2}+4x+10$
$=2(x^{2}+2x+5)$
Hence, the correct answer is $2(x^{2}+2x+5)$.
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