(0) 210 HUI 1+ a² +a+ 1+ ab + a²b2 ...
Question

# (0) 210 HUI 1+ a² +a+ 1+ ab + a²b2 1+ ac +a?c?| A = 1+ ab + a²b? 1+62 +64 1+bc +bºc is equal to 11+ ac + a²c2 1+ bc + b²c2 1+c? + c (B)2(a - b)

JEE/Engineering Exams
Maths
Solution
118
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( =left[begin{array}{ccc}1 & 1 & 1 1 & 1 & 1 1 & 1 & 4end{array}right]+mid begin{array}{ccc}a^{2}+a^{4} & a b+a^{2} b^{2} & a c+a^{2} c^{2} a b+a^{2} b^{2} & b^{2}+b^{4} & b c+6^{2} c^{2} a c+a^{2} c^{2} & b c+b^{2} c^{2} & c^{2}+c^{4}end{array} ) begin{tabular}{r} - 0 ( f a b c mid begin{array}{lr}a+a^{3} & a+a^{2} b b+a b^{2} & b+b^{3} c+a c^{2} & c+b c^{2}end{array} ) & ( a+a^{2} c ) ( b+b^{2} c ) hline end{tabular} ( =a^{2} b^{2} c^{2} mid begin{array}{ccc}1+a^{2} & 1+a b & 1+a c 1+a b & 1+6^{2} & 1+6 c 1+a c & 1+b c & 1+c^{2}end{array} ) ( =a^{2} b^{2} c^{2}left[begin{array}{ccccc}1 & 1 & 1 & 1 & a^{2} & a b & a c 1 & 1 & 1 & a b & 6 & b c 1 & 1 & 1 & a c & 6 c & c^{2}end{array}right] )
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