Question

simplify and factorize: (a+b+c)²-(a-b-c)²+4b²-4c²
answer it asap ........... urgent
#brainliest answer

Answer 1

Given (a + b + c)^2 - (a - b - c)^2 + 4b^2 - 4c^2

= > a^2 + b^2 + c^2 + 2ab + 2bc + 2ca - (a^2 + b^2 + c^2 - 2ab + 2bc - 2ca) + 4b^2 - 4c^2

= > a^2 + b^2  +c^2 + 2ab + 2bc + 2ca - a^2 - b^2 - c^2 + 2ab - 2bc + 2ca + 4b^2 - 4c^2

= > 4ab + 4ac + 4b^2 - 4c^2

= > 4a(b + c) + 4(b + c)(b - c)

= > 4(b + c)(a + b - c)


Hope this helps!