Question

factorization of a square + 4 a b + 3 b square​

Answer 1

Answer:

(a + 3b)(a + b)

Step-by-step explanation:

Given : a² + 4ab + 3b²

We can write this as :

→ a² + 4ab + 4b² - b²

→ (a)² + (2)(a)(b) + (2b)² - b²

Applying below identity :

x² + 2xy + y² = (x + y)²

Here, x = a, y = 2b

→ (a + 2b)² - b²

→ (a + 2b)² - (b)²

Identity : x² - y² = (x + y)(x - y)

Here, x = a + 2b, y = b

→ (a + 2b + b)(a + 2b - b)

→ (a + 3b)(a + b)