Question

Simplify the equation (a+b+c)(a+b-c)

Answer 1

Answer:

a²+b²-c²+2ab

Step-by-step explanation:

$(a+b+c)(a+b-c)\\\\= a^2 + ab - ac + ab + b^2 - bc + ac + bc - c^2\\\\= a^2 + b^2 + c^2 + ab + ab -ac + ac - bc + bc\\\\= \boxed{a^2 + b^2 - c^2 + 2ab}$

Hope it helps.

Answer 2

$\underline \bold {Solution:-}$

$(a + b + c)(a + b - c) \\ \\ = {a}^{2} + ab - ac + ab + {b}^{2} - bc + ac + bc - {c}^{2} \\ \\ ab \: and \: bc \: are \: cancelled \: by \: - ab \: and \: - bc \\ \\ = {a}^{2} + {b}^{2} - {c}^{2} + 2ab$