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5. 6x3-16x2y+bxy2+4y13, x+-25x2+144.

6.

7. 2.

8. a -2a2b+ba + 4abc2 — &

9. (b-ap+q).

- 21.

DIVISION.

1. x; a++2ab+3a2b2 + zab3 +64; x9 - 4x2+11x-24

2. a3+3a2+9a + 27.

3. -35bx; a++ 2a3 + 3a2 + 4a + 5.

4. 3x2-2abx-2a2b2.

5. 32+16a+ 8a2 + 4a8 + 2a + a3. 6. a2 - ab+b2 - 2ac- 2bc+4c2.

7. x2-2xy + y2 − xs+ya+z2. 8. a2-3ax+3x2.

9. a2-b2+

a2b- ab2 + ab

a3+a-b 10. 6.x3- 2x2 - 8x-16. 11. 5a2 + 10ax + 20x2. 12. 3x+2y+2.

13. 3x3 2x2-4x+2. 14. 7x2+5xy+2y2.

15. a2+5a+6; a2b2(4a − 5b) (4a+5b). 16. 1+2x+2x2 + 2x3 + 2x+(1-x)

I-2x+x2'

(x+1) (3x-5). 17. a+x.

18. 1-x+3x2- 9x3+27x* - 81x5+ 19. a2-a+1.

20. 1-x2-x3+x3 + x® (1-x)

1−x+x2°

this remainder =

243x6

1+ 3x

21. 1-2x+3x2 - 4x8 +5x+ - 6.x5+7x6-8x7.

22. a22ax+4x2; a2.

23. 1+a+a2-2b+2ab+462 = 13.

24. 2a2b2+2ab+ 1 = 61.

25. x2-ax + a2.

26. x2-3x-y; ax2+a2x+xm-1 + axm−2.

MISCELLANEOUS ON ADDITION, SUBTRACTION,

MULTIPLICATION, AND DIVISION.

1. bab - 862. 2. 4x2 – 6y2 + 10xy, 3. 4x4 + 4.7y2 - 4y+ 4. 59; 2a+346c). 5. 2(ax + bz); 2y(a+b). 6. x - x2y2 + y4; 2353. 7. 2(a-6) (c-d); - abc. 8. 6x - %; 7(x - y). 9. See solutions. 10.

5x +1-3 Sxyz +y+92 11. 120 - 146. 12. - 26. 13. 2a-b-d, 4a2 - 68 - 2bd-d. 14. x4 – 8x2y2 + 16y4; x + 2y. 15. 26xy - 5x2 - 5y2; x2 - 3. 16. Ix8; 1 + x2 + x4 +36 17. x2 + 3x +1.

32(7 - y) 18. 3.24 – 2ax3 – 3a_x2 +4}a'x – 2a4; y2 – 39+26+

y2 + y -7. 19. 1(20+1). 20. 36 – 21xo + 20; 34 – 3x3 + 732 – 15x + 10. 21. 22. 22. x6 – 3x4y2 + 3x2y4 – 28 – 3x4z2 + 6x2y272 – 3y4z2 + 3x234 - 3y224 -20. 23. q3m - 3a2m+n + 3am+2n - 23n. 24. 24m – 4.x3m+n + 6x2m+n) – 4.xm+31 + x4n. 25. 19x2 + 37xy + 1972. 26. 8x2 – 22ax + 15a-. 27. x2 – 16. 28. x2 - ax + a; *4 + a_x2 + 04. 29. x++ym; x2m – y2m.

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3. x

.

- 50; ; (x - 7a) (x + 13a).

y 4. 24*(1 + 2x2). 5. (3x + 7y) (4x - 9y). 6. (a + b)% 7. *4 + 2xy + 3x4y2 + 2xy3 +34. Both sides =625. 8. Both sides = x4 + 6x3 + 11x2 + 6x + 1. 9. Quotient=a-b; (x-6) (a - y). 10. See solutions. 11.5

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LEAST COMMON MULTIPLE. 1. x4 + ax3 – a’x – 04. 5. (3x + 1) (2x – 1) (4x2 - 1). 2. x3 + 2x2

6. (24 + xy2 + y^) (x - y). 3. (9a? – 2562) (5a – 30). 7. See solutions. 4. (*4 – 1).

8. (42 - 4a) (x2 + a2).

- X - 2.

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12x-6y. 2.2.x-x-1. 3. 3a2+2a+3. 4. 4x3-x2-2. 5. 2x2+y2-332.

SQUARE ROOT.

6. 3x3 2x2+x-4.

7. x-a+y.

8. 2x2-3x+4.

9. 3x-11y.

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