Answer:
(13a - 2b)²
Step-by-step explanation:
169a² - 52ab + 4b² ← is a perfect square trinomial of the form
(ax - b)² = a²x² - 2abx + b²
Compare the coefficients of the squared terms
a² = 169 ⇒ a = [tex]\sqrt{169}[/tex] = 13
b² = 4 ⇒ b = [tex]\sqrt{4 }[/tex] = 2
and - 2ab = - 2 × 13 × 2 = - 52 , then
169a² - 52ab + 4b² = (13a - 2b)² ← in factored form
