Question

1. $121x^{2}+110x+25$

Explanation:

Step1: Identify perfect square terms

$121x^2=(11x)^2$, $25=5^2$

Step2: Verify middle term

Check if $2\times11x\times5=110x$, which matches the given middle term.

Step3: Apply perfect square formula

Use $(a+b)^2=a^2+2ab+b^2$ where $a=11x$, $b=5$.

Answer:

$(11x+5)^2$