Question

Simplify (a + b + c)(a + b - c).

Answer 1

Answer:

I hope this helps u........

Answer 2

Answer:

$\bold\red{{a}^{2} + {b}^{2} - {c}^{2} + 2ab}$

Step-by-step explanation:

Given,

$(a + b + c)(a + b - c)$

Simplifying above,

we get,

$((a + b) + (c))((a + b) - (c))$

Now,

we know the identity,

$( \alpha + \beta )( \alpha - \beta ) = { \alpha }^{2} - { \beta }^{2}$

Therefore,

we get,

$= {(a + b)}^{2} - {(c)}^{2} \\ \\ = \bold{{a}^{2} + {b}^{2} - {c}^{2} + 2ab}$