Question

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

Answer 1

Answer:

a²-b²-c²-2bc

Step-by-step explanation:

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

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

=a²-ab-ac +ba-b²-bc +ca-cb-c²

=a²- b²-c²-2bc

Answer 2

Given : The given algebraic expression is, (a+b+c)(a-b-c)

To find : The simplification of the given algebraic expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to simplify the given algebraic expression)

Here, we will be using the necessary algebraic expressions. (usage of the algebraic expression is mandatory in this case)

So, the simplification will be :

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

= [(a) + (b+c)] [(a) - (b+c)]

= (a)² - (b+c)²

= a² - (b²+2bc+c²)

= a²-b²-2bc-c²

= a²-b²-c²-2bc

(This will be considered as the final result of the given mathematical problem.)

Used identity :

• x²-y² = (x+y)(x-y)

Hence, the answer to the simplification is, a²-b²-c²-2bc