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3. 18ab5cd+5m2+4cm.

4. 13 a2b2+8 m2-18 m n +36 +4xy.

5. 16bc-3ab+5 ac+12cd+4mn +10 an. 6. 8a-8b+c-17 d +25.

7.-8a6c-109d+31e-10f+g.

8. 17 a2b-13 ab2-10 ab 18 c3 d-10 d4-12 m2 n + 11 m n2+mn.

9. 8a3+1463-7 b x2 — 8 c x2 — x2 + 13x-9 h y2-2k ya -5ky-9hy +7 py2.

SECTION X.

ART. 27.

1st, 2d, performed.

3. 3ab2c2 +3bc.

4.6ac6ab+9bc7cd-12 am. 5. 8m-6x-f-3d-8.

ART. 28.

[ocr errors]

1. 18 a2x-6bc+10x2-ax+b—6. 2. 10 a 23-36 a2 x2 +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 ď3 + c3 d+m. ART. 29.

1. am (bc- - dm).

2. abc-d2-(3my — xy). '

3. a+b

[ocr errors]

(c+d).

[merged small][ocr errors][merged small][merged small]

ART. 31.

SECTION XI

1st, 2d, 3d, performed.

4. 2 a2+5a-12.

5. a1+4b4.

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

7. 126 a6 c2+30 a3 b c2-36 62 c2+108 a3 cx y2-28 a3 cx2 y +33a3c3+72bcxy2+12b cx2y-24bc3-24x3 y3+2 c2x2y +36 c2 x y2-3 c4.

aa ·17

8. 3 a6b-10 a5 b2+17 a4 63-17 a3 b48 a2 b5 — a b6 9. 42 65-217 63 c2-11 b2c3+8bc4-2c5.

ART. 32.

[ocr errors]
[blocks in formation]

4. 2 a2b2b2c+2c3.

5. 7x3x2y-12 x y2-6 y3.

6. 10 a cx+2a2c+5abc+2x+6a+8 b.

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

8. 4 ax2-4 a xy + ac2 + 4 bx2-4 bxy+b c2-a3 c2 m - ac2 x y + a3 d2 m+a d2 xy-a2 c2mx-c2x2 y + a2 d2 m x + d2 x2 y.

9. 13 63 c2 x-8 62 c3 x2+18 c5 x2.

b2 x2.

a2

10. 112b-4bx+a2 b+448-16x+14 a2+6a2bc7 a2 c2.

ART. 40.

1. Performed. 2. 4 a2 b c d.

3. 5 a2 b3 c d.

SECTION XII.

4. 12 66 h3

5. 25 m5 y6.

6. 31 a2 b2 m2.

[blocks in formation]

9. a2+4 a3 x + 12 a2 x2 + 16 a x3 + 16 x1.

[merged small][merged small][merged small][ocr errors]

11.5a2+4ab3b2.

12. m6+m5x+ m2 x2 + m3 x3 + m2 x2 + m x5 + 3.,

13. 5 a3 b2c3 — 2 a2 b2 c4.

ART. 46.

y8.

[blocks in formation]

1. x8+xïy+x¤ y2 + x5 y3 +x1 y2+x3 y5 + x2 y°+ x y2+

2. 81 a1+ 108 a3 b + 144 a2 b2 + 192 a b3 +256 b4.

!

3. x9x8y + x7 y2 — x6 y3 + x5 y1 — x1 y3 — x3 yб — x2 y2+

[ocr errors]

4. 1 — m+ m2 — m3 +m1 — m3 + mo — m2.

[merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][merged small]

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

m12

1

- m2

ахбуб 1+xy

ART. 47.

1. a2.

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

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

4. (a+b)(x2-x y + y2).

5. 9 (m2-n2) (x1 — x3 y + x2 y2 — x y3 + y1).

6. 3m (x3 — y3) (m2+n2).

7. 5 (m2-1) (x4 — x3 + x2 — x + 1).

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

9.

50 a x3 +26 a x2 y + 125 a x1 + 65 a x3 y

[blocks in formation]
[blocks in formation]

9.

10.

11.

12.

7 (m3 —m1y+m3 y2 — m2 y3 +my1 — y5)°

15xy

2 (a+b) (x4 — x3 y + x2 y2 — x y3+y1)°
a + b c m

3 (c+d)

3 ac+xy

(m + n) (x4 — x3 y +x2 y2 —x y3+y4)*°

13th and 14th performed.

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