Question

simplify: (a+b+c) ^2-(-a-b+c) ^2​

Answer 1

To find:-

(a+b+c)²- (-a-b+c)² = ??

Solution:-

(a²+b²+c²+2ab+2bc+2ca)-

(a²+b²+c²+2ab-2bc-2ca)

= a²+b²+c²+2ab+2bc+2ca-a²-b²-c²-2ab+2bc+2ca

= 4bc+4ca

= 4c(b+a) .

Hope it's helpful to you.

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Answer 2

Answer:

4c(a+b)

Step-by-step explanation:

a²+b²+c²+2ab+2bc+2ca-(a²+b²+c²+2ab-2bc-2ca)

a²+b²+c²+2ab+2bc+2ca-a²-b²-c²-2ab+2bc+2ca

4bc+4ca

4c(a+b)