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factorize. 9a^2 - 4b^2 + 2(3a+2b)
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Answer:
(3a + 2b)(3a - 2b + 2)
Step-by-step explanation:
Given Equation is 9a² - 4b² + 2(3a + 2b)
= (3a)² - (2b)² + 2(3a + 2b)
∴ a² - b² = (a + b)(a - b)
= (3a + 2b)(3a - 2b) + 2(3a + 2b)
= (3a + 2b)[3a - 2b + 2]
= (3a + 2b)(3a - 2b + 2).
Factorization of 9a² - 4b² + 2(3a + 2b) = (3a + 2b)(3a - 2b + 2).
Hope it helps!
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