Question

Compute the following:

`[(a^2 + b^2, b^2 + c^2),(a^2 + c^2, a^2 + b^2)] + [(2ab, 2bc),(-2ac, -2ab)]`

Answer 1

`[(a^2 + b^2, b^2 + c^2), (a^2 + c^2, a^2 + b^2)] + [(2ab, 2bc),(-2ac, -2ab)]`

= `[(a^2 + b^2 + 2ab, b^2 + c^2 + 2bc), (a^2 + c^2 - 2ac, a^2 + b^2 - 2ab)]`

= `[((a + b)^2, (b + c)^2), ((a - c)^2, (a - b)^2)]`