Show that `|(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)^(3)`. |Class 12 MATH | Doubtnut

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LAQ Video 10 || Show that det a+b+2c = 2(a+b+c)³ @skydhoni LAQ Video 10 || Show that det a+b+2c = 2(a+b+c)³ @skydhoni
Show that `|(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)^(3)`. |Class 12 MATH | Doubtnut Show that `|(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)^(3)`. |Class 12 MATH | Doubtnut
Show that `|[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3` Show that `|[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3`
Prove that: ` |[a-b-c, 2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3 ` Prove that: ` |[a-b-c, 2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]|=(a+b+c)^3 `
det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3 det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3
prove that `|[a-b-c , 2a , 2a] , [2b , b-c-a , 2b] , [2c , 2c , c-a-b]|=(a+b+c)^3` prove that `|[a-b-c , 2a , 2a] , [2b , b-c-a , 2b] , [2c , 2c , c-a-b]|=(a+b+c)^3`
Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3 Show that:det [[a - b - c, 2a, 2a], [2b, b - c - a, 2b], [2c, 2c, c - a - b]] = (a + b + c) ^ 3
#Formula (a+b)²=a²+b²+2ab #solution #Formula (a+b)²=a²+b²+2ab #solution