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Show that: `|b^2+c^2a b a c b a c^2+a^2b cc a c b a^2+b^2|=4a^2b^2c^2` |
Answer» `Delta = |{:(b^(2)+c^(2),,ab,,ac),(ab,,c^(2)+a^(2),,bc),(ca,,cb,,a^(2)+b^(2)):}|` `= |{:(0,, c,,b),(c,,0,,a),(c,,a,,0):}| |{:(0,,c,,b),(c,,0,,a),(b,,a,,0):}|` `=(2abc)^(2)=4a^(2)b^(2)c^(2)` |
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