Question

Factorize :
1. x2 + 6x + 9.
2. x2 + 10x + 25.
3. 4x2 + 4x + 1.
4. 9x2 + 6x + 1.
5. 36x2 + 12x + 1. 6. 49x2 + 28x + 4.
7. 4x2 + 28x + 49. 8. 9x2 + 6xy + y2. 9. 25x2 + 10xy + y2
10. 25x2 + 20xy + 4y2. 11. 16p2 + 24pq +902. 12. x2 + 30xy + 225.
13. x2 - 12x + 36. 14. 4x2 - 36x + 81. 15. 25p2 - 20py + 4y2.
16. 36p2 - 60p + 25. 17. 144 y2 - 24y + 1. 18. 225y2 - 60yp + 4p2.
19. 25p2 - 70pq + 4902. 20. 100 - 100y + 25y2. 21. 25 - 120p + 144p2.
22. 49y2 - 56yp + 16p2. 23. (x - 1)2 - 9. 24. 4 - (3x + 2)2.
25. -4p2 + 4pq - 02. 26. -a2 - 12ab - 3662. 27. 4p2 - 992.
28. 6(4x + 5) + 4(4x + 5). 29. - 256.
30. ax + bx + ay + by.​

Answer 1

Answer:

How to solve your question

Your question is

2

+

6

+

9

x^{2}+6x+9

x2+6x+9

Grouping

1

Use the sum-product pattern

2

+

6

+

9

2

+

3

+

3

+

9

2

Common factor from the two pairs

2

+

3

+

3

+

9

(

+

3

)

+

3

(

+

3

)

3

Rewrite in factored form

(

+

3

)

+

3

(

+

3

)

(

+

3

)

(

+

3

)

4

Combine to a square

(

+

3

)

(

+

3

)

(

+

3

)

2

Solution

(

+

3

)

2

Step-by-step explanation:

I gave you first one answer. This is like an example for you. You have to do for all other