3. 18 ab+5cd+5m2+4cm.

4. 13 a2 b2+8m2-18mn+3b+4xy.

5. 16bc-3ab+5 ac+12cd+4mn +10 an.
6. 8a-8b+c-17 d+25.
7.-8a6c-109d+31e-10ƒ+g.

8. 17 a2b-13 a b2-10 a b + 18 c3 d-10 d4-12 m2 n + 11 m n2+mn.

9. 8a31463-7 b x2 - 8 c x2 - x2 + 13x-9 h y2 — 2 k y2 -5ky-9hy +7py2.

SECTION X.

ART. 27.

1st, 2d, performed.

3. 3ab-2c+3bc.

4.-6ac6ab+9bc7cd-12am.

5. 8m-6x-f-3d-8.

ART. 28.

1. 18 a2x-6b c +10 x2-ax+b—6. 2. 10 a x3-36 a2x2+49 a3 x-6 a1.

3. 26 ab-18 b c2 +26 b2 + c2 — m2 x +47. 4. 7a2xy-8bx2y +30 cx y2-29 y5.

5. 18 x2 y2 +48 x y +4 b2 c2 + c d3 + c3 d+m. ART. 29.

ART. 31.

SECTION XI.

1st, 2d, 3d, performed.

4. 2 a25a-12.

5. at +464.

6. 37 a2bc2-12 a2 c4 +22 a c1 d2 — 21 a2 b2 — 26 a b c2 d2 -8 c4 d4.

7. 126 a c2+30 a3 b c2-36 b2c2+108 a3 cx y2-28 a3 c x2 y +33 a3c3+72bcxy2+12b cx2y-24 b c3-24x3 y3+2 c2 x2 y +36 c2 x y2-3 ct.

8. 3a6b-10 a5 b2 +17 a4 b3-17 a3 b4+8a2 b5 — a b6. 9. 42 65-217 63 c2-11 62 c3+8bc4-2c5.

4. 2 a2b+2b2c+2c3.

5. 7x3 + x2y-12 x y2-6 y3.

6. 10 a cx+2 a2 c +5 a b c +2x+6a+86.

7. 4abc+2a2 d +2 b2 d.

a2 c2

8. 4a x2-4axy + ac2 + 4b x2-4 bx y + b c2 — a3 c2 m - ac2 x y + a3 d2 m+a d2 xy-a2 c2 mx-c2x2 y + a2 d2 m x + d2x2 y.

9. 13 b3 c2 x-8 b2 c3 x2 + 18 c5 x2. b3 c2

10. 112b-4b x + a2 b + 448 — 16 x + 14 a2 + 6 a2 b c — 7 a2 c2.

SECTION XII.

ART. 40.

1. Performed.

2. 4 a2 b cd.

3. 5 a2 b3 c d.

4. 12 b6 h3.

5. 25 m5 y6.

6. 31 a2 b2 m2.

9. a2+4a3 x + 12 a2 x2 + 16 a x3 + 16 x1. 10. x4x3x2 —x+1.

11.5a2+4ab3b2.

12. m3 +m5x+ m2 x2 + m3 x3 + m2 x2 + m x5 + x6.

13. 5 a3 b2c3-2 a2 b2 c4-3ab2c5-7 b c6.

ART. 46.

98.

1. x8+x7y+x6 y2 + x5 y3 +xa y1 +x3 y5 + x2 y° + x y2+

2. 81 at 108 a3 b + 144 a2 b2 + 192 a b3 +256 ba.

3. x9 — x3 y+x7y2 — x6 y3 + x5 y1 — x1 y5 — x3 y6 — x2 y1 +

4. 1-mm2 — m3 + m2 — m3 + m2 — m2. 1—m ma. - m6.

5. m1 — m3 n + m2 n2 — m n3 + n1.

8. a—axy+a x2 y2 — a x3 y3 + a x1 y1 — a x5 y5 +

m12

1

- m2

ART. 47.

1. a2.

2. (m + 1) (a+b).

3. 2(x2+x+1) (a + m).

4. (a+b) (x2-xy + y2).

5. 9 (m2— n2) (x4 — x3 y + x2 y2 — x y3 +y4). 6. 3 m (x3 — y3) (m2 +n2).

7. 5 (m2 — 1) (x4 — x3 + x2 — x + 1).

SECTION XIV.

a x6 yб

1+xy

9.

50 a x3+26 a x2 y + 125 a x4 +65 a x3 y

176+3 c.

10th and 11th performed.

9.

10.

7 (m5 — m2 y+m3 y2 — m2 y3+m y1 — y5)'

15xy

2 (a + b) (x2 — x3 y + x2 y2 — x y3+y4)°
a + b c m

11.

3(c+d)

12.

3 ac+xy

(m + n) (x1 — x3 y + x2 y2 — x y3 +y1)*

13th and 14th performed.