Using properties of determinants prove that: \[ \left|\begin{array}{lll} 1 & b+c & b^{2}+c^{2} \...

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Using properties of determinants prove that: \[ \left|\begin{array}{lll} (a+1)(a+2) & a+2 & 1 \\... Using properties of determinants prove that: \[ \left|\begin{array}{lll} (a+1)(a+2) & a+2 & 1 \\...
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