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Using properties of determinants, prove that:` |[b^2+c^2,a^2,a^2],[b^2,c^2+a^2,b^2],[c^2,c^2,a^2+b^2]|=4a^2b^2c^2` |
Answer» Apply `R_(1) to R_(1)-(R_(2) +R_(3))"and expand by"C_(1)` | |