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Mth – FACTORIZATION AND ALGEBRAIC MANIPULATION

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1

Factorize completely: x² + 5x + 6

2

Factorize: x² - 10x + 25 - 4y²

3

Simplify: (x² - 2x - 3)/(x² + x - 12) × (x - 3)/(x + 1)

4

Find the LCM of x² - 4 and x² - 3x + 2.

5

Factorize: x² + 8x + 16

6

Simplify: (x + 2)/(x² - 4) × (x - 2)/(x + 1)

7

Factorize completely: x² - 6x + 9 - y²

8

Simplify: (x² + 5x + 6)/(x² + 4x + 4)

9

Simplify: (x + 3)/(x² + 5x + 6)

10

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

11

Factorize: x³ - 8

12

Simplify: (2x - 2)/(x² - 1)

13

Simplify: (x² - 4)/(x - 2)

14

Factorize: 3x² - 10x + 8

15

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

16

Factorize: x² - 2x + 1 - 9y²

17

Factorize: 3x² + 11x + 6

18

Simplify: (x² - 5x + 6)/(x - 2)

19

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

20

Factorize: 6x² - 7x - 3

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