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Y_Kistochka [10]
3 years ago
6

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

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0

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.

True [87]3 years ago
6 0

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!

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