Question

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

Answer 1

Answer:

$(a+b-c)(a+b+c)=a^2+2ab+b^2-c^2$.

Step-by-step explanation:

We want to expand: $(a+b-c)(a+b+c)$.

We use the distributive property to obtain:

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

We now expand to get:

$(a+b-c)(a+b+c)=a^2+ab+ac+ab+b^2+bc-ac-bc-c^2$.

This finally simplifies to

$(a+b-c)(a+b+c)=a^2+2ab+b^2-c^2$.

Answer 2

If you are looking for the expanded version, this is it. It is also possible to group either an a from (a^2 + 2b) or a b from (2ab + b^2). Hope this helps!