Question

Factorise: 2(a+b)^2-5(a+b)-3

Answer 1

Answer:

➟ 2(a + b)² - 5(a + b) - 3

➟ 2(a² + b² + 2ab) - 5a - 5b - 3

➟ 2a² + 2b² + 2ab - 5a - 5b - 3

➟ ab[2a + 2b + 2 - 5 - 5 - 3]

➟ ab[2a + 2b - 11]

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Answer 2

Answer:

$(\sqrt{(a + b)(2a + 2b - 5)} - \sqrt{3} )( \sqrt{ (a + b)(2a + 2b - 5)}\: + \sqrt{3} )$

Step-by-step explanation:

2(a + b)^2 - 5(a+b) -3

(a + b)(2a + 2b - 5) - 3

${ \sqrt{(a + b)(2a + 2b - 5)} }^{2} - { \sqrt{3} }^{2} \\ (\sqrt{(a + b)(2a + 2b - 5)} - \sqrt{3} )( \sqrt{ (a + b)(2a + 2b - 5)}\: + \sqrt{3} )$