Question

(a+b+c)^2 + (a-b-c)^2

Answer 1

this is the answer hope it helps

Answer 2

(a + b + c)² + (a - b-c )²

$(a + b +c)^2 + [a + (-b) + (-c)]^2$
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Using formula,
$(a + b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$

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$(a + b+ c)^2 + [a + (-b) + (-c)]^2$

$[a^2+b^2+c^2+2(ab+bc+ca)]+[a^2+(-b)^2+(-c)^2+2{(a*-b)+(-b*-c)$$+ ( -c *a) }$

$a^2+b^2+c^2+2ab+2bc+2ac+a^2+b^2+c^2-2ab+2bc-2ca$

$2a^2 + 2b^2 + 2c^2 + 4bc$

$2(a^2 + b^2 + c^2 + 2bc)$

$2[ (c+b)^2 + a^2]$



i hope this will help you


-by ABHAY