(9) x3+2x2y+8xy2 + 16y3.

(10) 1. x=3; 2. x=5; 3. x=3, y=4; 4. x=5, 2'4.

(11) 20.

(12) 974.

(13) 73.

(1) £6264 11s. 10d.

(3) 44891 yds.

(5) 62.

XLI.

(2) 1. £2840 10s. 8d.; 2. 2 lbs. 9 oz. (4) 60.

(6) 1. 8s. 6d.; 2. 2500; 3. 186.

(7) 1. a3-8b3+27c3 — 6a2b+ 9a°c + 12ab2-36abc +27 ac2 + 36b2c-54bc2; 2. xo −2x3 + 3x1 — 4x3 +3x2 — 2x + 1.

2x3

(a−x) (a3 + x3)'

(9) 1. x=1; 2. x=11; 3. x=−54; y=44.

(8)

(11) 1.—12x2(p—1) ̧

Dy5;
'; 2. 14x3 — 6x1y + 2x3y2 — 7x3 + 10x2y — 4xy2 + y3;
3. x3 — 2x3y + xy2 + ax2 —2axy + ay2.

-; 2. x=5, y=4; 3. x=y=8; 4. 56 and 49.

(9) 1. ALG. I. P. P. 13, 14; 2. 3a5—7a1x+8a3x2 — 8a2x3 +

(10) a + bx.

(12) 1. x=6; 2.x=.

; 3. x=9, y=7.

-a

(13) A.'s rate 75 yds., B.'s, 50 yds., a minute; length of course,

150 yds.

XLIV.

(1) 1.4; 2. 2; 3. 12.
(3) 1. 130; 2. 19880; 3. 03.
(5) 1. £1 168.; 2. £1 16s. 10d.

(?) 1. 1+2√2; 2.1.

(2) AR. P. 58.

(4) AR. P. P. 1, 34, 35. (6) 1. ·026; 2. £551 16s. 01d. (8) 2 (x-y).

(9) 1. 1 −2 (x + y) + x2 + y2 — 2xy (x+y−2); 2. x3 −7x+ 5.

(5) 188.

(3) 1.23.

(4) ·904.

(6) 5'07; ALG. I. P. 41. (7) 1. 49; 2. 19.

(8) 1. 9x1 + 12x3y + 4x2y2 —y1; 2. } (a2 — 4b2 — 12bc — 9c2).

(9) 1. 7a2-3ab + 2b2; 2. √x+2√y.

(10) 1. x= =13; 2. x=6, y=10.

(12) 840.

(11) 1-2x + 3x2.

(13) ALG. I. P. P. 87, 88.

XLVII.

(2) 7 hrs.

(4) 1. 2. 28125; 3. 26 lbs. 4 oz.

(3) £4 9s. 0 d.

(7) 1. 5 1984; 2. 2.2803; 3. 2:0615.

(5) 1. 2.7356; 2. 0117; 3. 76.923; 4. 1.2854.

(6) £35 12s. 6d.

(8) 1. a-b+c-d; 2. 4x3-16 xo — 16x3 + 12x1 + 32x3 + 24x2 + 8x + 1 ;

(5) 15 h. 50'4 m.

(9) 2a2+3ab-4b3.

(2) 1. £1 178. 123d.; 2. 7 hr. 13 mi.
(4) 83 cwt. 2 qrs. 22 lbs. 4 oz.

(6) b. (7) 36.

(8)x+4x2+16. (10) (a−2) (a — 4) (a—8).' (11) ALG. I. P. 25 ; — 3.

(12) 1. x=2; 2. x=3; 3. x=12; 4. x=10; 5. x=4, y=3.

(13) £24.

(11) 1. x=7; 2. x=−2}; 3. √x−−2; 4.x=2, y=5.

(12) 1. x=10; 2.x=2; 3. x=3}; 4.x=7, y=4. (13) 7 in. and 12 in.

(11) 1. x=15, y=2, z=-12; 2. x=4, 3; y=3, 4.

(12) ALG. I. P. 65; 61419.

(13) III. 17; 1. 30; 111. 16.

3

19

(3) AR. P. 45; 230

α 76

(5)

+ 4c.

6 6

(6) 1. 1+ 4x2 + 4x + 6x2 + 12x2 + 9x3; 2. x2 −3x3 + 4xa.

(8) 1. x=4; 2. x = 10, y = 24.

(9) 1000.

a2-b2

(10) ALG. I. P. 121;

a

(2) 3 lbs. 6 oz.

(6) 7s. 9d.

(11) 25√6.

(4) 1. 2; 2. 1.

(7) 10/10.

(1) 1. 2 mi. 3 fur. 35 po. 3 yds.; 2. 63; 3. 1200.

(3) 6 ac. 3 ro. 30 po. 22

(9) x=24, y=3}.

(10) 50 ft.

(12) 7200.

(13) III. 31, 3.

LVII.

(2) 6 yrs.; £500.

(1) 69.

(4) £2 Os. 9.24d.; 13.728125.

(6) 30.

(3) 0000056332611.

(5) £1 13s.

(7) AR. P. P. 99, 105; £2050; £48733.

(8) 1. x2+2x+3; 2. (x + 2) (x − 1)(x − 3).

4. (√2+√6).

(13) B will pass A at end of 36th mile; A will pass B at end of

120th mile.

LVIII.

(1) 11 (a+b+c+d).

(2) 13

(3) 1. x2-13x3 + 10x1 + 12x3 — 2x −1;

2. x + 9x5 + 30x1 + 45x3 + 30x2 + 9x + 1.

(4) 1. ALG. I. P. 8; 2. —(a + 7b).

(5) 1. x6 + x3 —x3 + x + 1; 2. (15x+4y+ 4) (7 x + 6y+ 10).

(8) 37 and 21.
a2-12

(11) 1.

; 2.1-16x2.

2