(2a +b)^2 - 6a - 3b - 4 factorize

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Solution

(2a + b)² - 6a - 3b - 4
(2a + b)² - 3(2a + b) - 4
y² - 3y - 4 [ put y = 2a + b ]
y² - 4y + y - 4
y(y-4) + 1(y-4)
(y+1)(y-4)
(2a + b + 1)(2a + b - 4)

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