Question:
Factorize: \[ a^2+2ab+b^2-c^2 \]
Solution:
\[ a^2+2ab+b^2-c^2 \]
\[ =(a+b)^2-c^2 \]
\[ =(a+b-c)(a+b+c) \]
\[ \boxed{(a+b-c)(a+b+c)} \]
Factorize: \[ a^2+2ab+b^2-c^2 \]
\[ a^2+2ab+b^2-c^2 \]
\[ =(a+b)^2-c^2 \]
\[ =(a+b-c)(a+b+c) \]
\[ \boxed{(a+b-c)(a+b+c)} \]