#### (i) (3x + 1/2x)^{2}

#### (ii) (3x^{2}y + 5z)^{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) (3x**^{2}y + 5z)^{2}

^{2}y + 5z)

^{2}

It can be written as

= (3x^{2}y)^{2} + 2 × 3x^{2}y × 5z + (5z)^{2}

So we get

= 9x^{4}y^{2} + 30x^{2}yz + 25z^{2}

**More Solutions:**

- Simplify the following (a + b)2 + (a – b)2
- Simplify the following (a + 1/a)2 + (a – 1/a)2
- Simplify the following (3x – 1)2 – (3x – 2) (3x + 1)
- Simplify the following (7p + 9q) (7p – 9q)
- Simplify the following (2x – y + 3) (2x – y – 3)
- Simplify the following (x + 2/x – 3) (x – 2/x – 3)
- Simplify the following (x + 2y + 3) (x + 2y + 7)
- Simplify the following (2p + 3q) (4p2 – 6pq + 9q2)
- Simplify the following (3p – 4q) (9p2 + 12pq + 16q2)
- Simplify the following (2x + 3y + 4z)