If A = i+j+2k and B = 2i-j+k, find (A+2B)(2A-3B)
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(A+2B)(2A-3B)={(i+ j+2k)+2(2i-j+k)}{2(i+j+2k)-3(2i-j+k)}
=(5i-j+4k)(-4i+5j+k)
=-20-5+4
=-21
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