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Question

If A=(3214),B=(2567) and C=(1153) verify that A(B+C)=AB+AC

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Solution

Now, B+C=(2567)+(1153)=(16110)
Thus, A(B+C)=(3214)(16110)=(138534) ............ (1)
Now, AB+AC=(3214)(2567)+(3214)(1153)
=(6+1215+142+245+28)+(3103+61201+12)
=(6292623)+(792111)
=(138534) ............. (2)
From (1) and (2), we have A(B+C)=AB+AC.

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