Q1 of 36 Page 28

Expand

(m + 2n + 3r)2

(m + 2n + 3r)2 =(m)2 +(2n)2 +(3r)2 + [ 2 ×(m)× (2n)] + [ 2 ×(2n)×(3r)] + [ 2 ×(m)×(3r)]


{ ∵(a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac }


= m2 + 4n2 + 9r2 + [ 4mn ] + [ 12nr ] + [6mr ]


= m2 + 4n2 + 9r2 + 4mn + 12nr + 6mr


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