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1

Factorize: 2x² + 5x - 3

2

What is the HCF of x² - 4 and x² - 3x + 2?

3

Factorize: x³ - 8

4

Simplify: (x² - 25)/(x² + 5x) ÷ (x - 5)/(x)

5

Simplify: (2x - 2)/(x² - 1)

6

Simplify: (x + 1)/(x² - 1) + (x - 1)/(x² - 1)

7

Simplify: (x² - 16)/(x² - 8x + 16) ÷ (x + 4)/(x - 4)

8

Find the LCM of x² + 6x + 9 and x² - 9.

9

Factorize: x² - 10x + 25 - 4y²

10

Simplify: (x² - 1)/(x² + 2x + 1) ÷ (x - 1)/(x + 1)

11

Factorize: 2x² - 18

12

What is the square root of (x² - 2x + 1)?

13

Find the HCF of x² + x - 6 and x² + 4x + 3.

14

Factorize: x² + 2x - 15

15

Simplify: (x² + 4x + 3)/(x² - 1) × (x - 1)/(x + 3)

16

What is the HCF of 6x²y and 9xy³?

17

What is the square root of (x² + 6x + 9)?

18

Simplify: (x + 3)/(x² + 5x + 6)

19

What is the square root of (4x² + 12x + 9)?

20

What is the LCM of x² - 1 and x² + 2x + 1?

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