Q13 of 50 Page 9

Write the following squares of binomials as trinomials:

(i) (x+2)2 (ii) (8x+3b)2


(i) (x+2)2


Apply the identity (a+b)2 = a2 + b2 + 2ab


x2 + 2 (x) (2) + 22


= x2 + 4x + 4


(ii) (8x+3b)2


Apply the identity (a+b)2 = a2 + b2 + 2ab


(8x)2 + 2 (8x) (3b) + (3b)2


= 16x2 + 48xb + 9b2


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