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121x² + 110x + 25

Question

121x² + 110x + 25

Explanation:

Step1: Identify perfect square terms

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

Step2: Verify middle term

$2\times11x\times5=110x$, matches given middle term

Step3: Apply perfect square formula

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

Answer:

$(11x+5)^2$