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Answer:
(v + 6)²
Step-by-step explanation:
v² + 12v + 36
consider the factors of the constant term (+ 36) which sum to give the coefficient of the v- term (+ 12)
the factors are + 6 and + 6 , since
6 × 6 = + 36 and 6 + 6 = + 12 , then
v² + 12v + 36 = (v + 6)(v + 6) = (v + 6)²