Q1 of 36 Page 28

Expand

(2p + q + 5)2

(2p + q + 5)2 =(2p)2 +(q)2 +(5)2 + [ 2 ×(2p)×(q)] + [ 2 ×(q)×(5)] + [ 2 ×(2p)×(5)]


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


Here a = 2p, b = q, c = 5 }


= 4p2 + q2 + 25 + [ 4pq ] + [ 10q ] + [ 20p ]


= 4p2 + q2 + 25 + 4pq + 10q + 20p


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