Question

Factorize the following :-
(a + b)(2a + b) + (3a +2b)(a + b)-(a + b)(a + 4b)​

Answer 1

Answer:

(a+b)(4a+7b) is the answer

mark brainliest..

Answer 2

★ To Factorise :

(a+b)(2a+b) + (3a + 2b)(a+ b) - (a + b)(a + 4b)

★ Solution :

by taking a +b as common

(a + b) { (2a + b) + (3a + 2b) - (a + 4b) }

(a + b) { 2a + b + 3a + 2b - a - 4b}

(a+b) {5a + 3b - a - 4b}

(a +b) {4a - b }

$\purple{\leadsto (a + b) (4a - b)}$

→ therefore , factors of (a + b)(2a + b) + (3a +2b)(a + b)-(a + b)(a + 4b) are (a + b) and (4a - b) .

★ Additional Information :

→ Important identities :

★ (a+b)² = a² + 2ab + b²

★ (a - b)² = a² - 2ab + b²

★ (a + b + c)² = a² + b² + c² + 2 (ab + bc + ca)

★ (a + b)³ = a³ + b³ + 3ab (a + b)

★ (a - b)³ = a³ - b³ - 3ab (a - b)

★ If , a+b+c = 0 , then a³ + b³ + c³ = 3abc