Expand this (3x + 1/2x)2

(i) (3x + 1/2x)2

(ii) (3x2y + 5z)2

Answer :

(i) (3x + 1/2x)2

It can be written as

= (3x)2 + 2 × 3x × 1/2x + (1/2x)2

So we get

= 9x2 + 3 + 1/4x2

= 9x2 + 1/4x2 + 3

(ii) (3x2y + 5z)2

It can be written as

= (3x2y)2 + 2 × 3x2y × 5z + (5z)2

So we get

= 9x4y2 + 30x2yz + 25z2

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