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a^2-2(a+b)-b^2. plzz help plzz solve this factorization plzzzzzz​

Sagot :

[tex]\displaystyle\bf \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer:

Step-by-step explanation:

a² -2(a+b) - b² = a² - 2a - 2b -b²

                       = a² - b² - 2a - 2b

                       = (a+b)(a-b) - 2 (a+b)

                      = (a+b)(a - b - 2)