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FACTORIZATION AND ALGEBRAIC MANIPULATION

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Question 1 of 10 0% read

1. Find the LCM of 3x²y and 6xy².

A 6x²y²
B 18x²y²
C 3xy
D 6xy²

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

A x - 1
B x + 1
C (x - 1)²
D x² - 2x + 1

3. Factorize: 3x² - 10x + 8

A (3x - 4)(x - 2)
B (3x + 4)(x + 2)
C (3x - 2)(x - 4)
D (3x + 2)(x + 4)

4. Factorize: 9x² - 30x + 25

A (3x - 5)²
B (3x + 5)²
C (9x - 5)(x - 5)
D (3x - 5)(3x + 5)

5. Find the LCM of 6x²y and 8xy³.

A 24x²y³
B 48x²y³
C 2xy
D 24xy³

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

A 1
B x + 1
C x - 1
D (x + 1)/(x - 1)

7. What is the HCF of 6x²y and 9xy³?

A 3xy
B 3x²y
C 18xy
D 3x²y³

8. Simplify: (x² - 9)/(x² - 6x + 9) × (x - 3)/(x + 3)

A 1
B x - 3
C x + 3
D (x - 3)/(x + 3)

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

A (x + 3)²(x - 3)
B (x + 3)(x - 3)
C (x + 3)²
D (x - 3)²(x + 3)

10. Factorize completely: 2x² - 8

A 2(x - 2)(x + 2)
B 2(x² - 4)
C 2(x - 2)²
D (2x - 4)(x + 2)

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