Factorization Practice Set

Factorization [2 Marks]

1. Factorize: 6x² – 5xy – 6y².

2. Factorize: 2b² + 6a² – 13ab.

3. Factorize: a⁴ + 8a² + 16

4. Factorize: x⁴ + 18x²y² + 81y⁴.

5. Factorize:

$\frac{a^{2}}{25}-2ab +25b^{2}$

6. Factorize: p⁴ + 10p² + 16.

7. Factorize:

$\frac{a^{3}}{b^{3}}+\frac{64}{125}$

8. Factorize: a³ – 3a²b + 3ab²– b³.

9. Factorize: 512p² – 125p³.

10. Factorize: a³ + 3a²bc + 3ab²c² + b³c³.

Answers:

1. (3x + 2y) (2x – 3y)

2. (2b – a) (b – 6a)

3. (a² + 4) (a² + 4)

4. (x² + 9y²) (x² + 9y²)

$(\frac{a}{5}+ 5b)(\frac{a}{5}+ 5b)$

6. (p² +8) (p² + 2)

$(\frac{a}{b}+ \frac{4}{5})(\frac{a^{2}}{b^{2}}- \frac{8a}{5b} + \frac{16}{25})$

8. (a – b) (a – b) (a – b)

9. p² (8 – 5p) (64 + 40p +25p²)

10. (a² + ab + b²) (a + b + 3abc)