Question : Expand and simplify the algebraic expression:
$(x-5)^2+(x+3)^2+4x$
Option 1: $2\left(x^2-17\right)$
Option 2: $2\left(x^2+17\right)$
Option 3: $\left(x^2+17\right)$
Option 4: $2\left(x^2-5 x+17\right)$
Answer (1)
25th Jan, 2024
Correct Answer: $2\left(x^2+17\right)$
Solution :
$(x-5)^2+(x+3)^2+4x$
$=x^2-10x+25+x^2+6x+9+4x$
$= 2x^2+34$
$= 2(x^2+17)$
Hence, the correct answer is $2(x^2+17)$.
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