(i) (3x – 1/2x)^{2}

(ii) (1/2 x – 3/2 y)^{2}

**Answer :**

**(i) (3x – 1/2x)**^{2}

^{2}

It can be written as

= (3x)^{2} – 2 × 3x × 1/2x + (1/2x)^{2}

So we get

= 9x^{2} – 3 + 1/4x^{2}

= 9x^{2} + 1/4x^{2} – 3

**(ii) (1/2 x – 3/2 y)**^{2}

^{2}

It can be written as

= (1/2 x)^{2} + (3/2 y)^{2} – 2 × ½ x × 3/2 y

So we get

= ¼ x^{2} + 9/4 y^{2} – 3/2 xy

= ¼ x^{2} – 3/2 xy + 9/4 y^{2}

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