factoringmathanswers

Quiz Answers by g.ho, l.to, m.uthayakumar, t_li

1. (x+6)(x+3)+(x+5)(x+2) =x 2 +3x+6x+18+x 2 +2x+5x+10 =2x 2 +16x+28
 * 3.2**

2. 3(y-5)(y+9) =3(y 2 +4y-40) =3y 2 +12y-120

3. (y+3) 2 =y 2 +6y+9
 * 3.3**

4. (3x+2) 2 =9x 2 +12x+4

5. (4m-5n)(4m+5n) =16m 2 -25n 2

6. (x+4)+(x-2) =x 2 +8x+16+x 2 -4x+4 =2x 2 +4x+20

7. (x 2 +1)(x 2 -1) =x 4 -1

8. (4-3c 2 )(4+3c 2 ) =16-9c 4

9. 5x+25 =5(x+5)
 * 3.4:**

10. 24xy 2 +16x 2 y =8xy(3y+2x)

11. wx+wy+xz+yz =w(x+y)+z(x+y) =(w+z)(x+y)

12. 5x(a+b)+3(a+b) =(a+b)(5x+3)

13. 35xy-10y 2 =5y(7x-2y)

14. 3x+12x+9 =3(x 2 +4x+3) =3(x+1)(x+3)
 * 3.5**

15. 4t 2 -8t-60 =4(t- 2 2t-15) =4(t-5)(t+3)

16. 3x-2x 2 -x 3 =x(3-2x-x 2 ) =x(3+x)(1-x)

17. x 2 +20x-96 =(x+24)(x-4)

18. 8y 2 -22y+12 =2(4y 2 -11y+6) =2[4y(y-2)-3(y-2)] =2(y-2)(4y-3)
 * 3.6**

19. 4x 2 -27x+18 =4x 2 -3x-24x+18 =4x(x-6)-3(x-6) =(x-6)(4x-3)

20. 4t 2 +8t+3 =4t 2 +2t+6t+3 =2t(2t+1)+3(2t+1) =(2t+1)(2t+3)

21. 2y 2 +9y+9 =2y 2 +3y+6y+9 =2y(y+3)+3(y+3) =(y+3)(2y+3)

22. 3m 2 +10m+3 =3m 2 +m+9m+3 =m(3m+1)+3(3m+1) =(3m+1)(m+3)

23. y-16 =y 2 -4 2 =(y+4)(y-4)
 * 3.7**

24. 81x 2 -144 =(9x) 2 -12 2 =(9x+12)(9x-12)

25. 3b 2 -300 =3(b 2 -10 2 ) =3(b+10)(b-10)

26. (x+2) 2 -9 =(x+2) 2 -3 2 =(x+2+3)(x+2-3)

27. (x+3) 2 -y 2 =(x+3+y)(x+3-y)

28. 2x 3 -24x 2 +72x =2x(x 2 -12x+36) =2x(x 2 -12x+6 2 ) =2x(x-6) 2