Q7 of 274 Page 91

Expand: (3x + 2)2.

We have,

(3x + 2)2


We know that,


(a + b)3 = a3 + b3 + 3ab (a + b)


∴ (3x + 2)2 = (3x)3 + (2)3 + 3 (3x) (2) (3x + 2)


= 27x3 + 8 + 18x (3x + 2)


= 27x3 + 8 + 54x2 + 36x


= 27x3 + 54x2 + 36x + 8


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