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Simplify: (a+b+c)^2-\ (a-b+c)^2...

Simplify: `(a+b+c)^2-\ (a-b+c)^2`

Text Solution

Verified by Experts

Using the dentity:
Using the identity:
`(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac`
`=(a+b+c)^2-(a-b+c)^2`
`=(a^2+b^2+c^2+2ab+2ac+2bc)-{(-a)^2+(-b)^2+c^2+2(-a)(-b)+2(-a)c+2(-b)c`
`=a^2-a^2+b^2-b^2+c^2-c^2+2ab+2ab+2ac+2bc+2bc-2ac`
`=4ab+4bc`
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