3 Also of (2x + y) (2x + 3y), when a 2, y = 3. Also of (x + y + z) (x + y − ≈) (x + ≈ − y), when 5. x = 1, y a2 + b2 + c2 + 2ab+ 2ac + 2bc 6abc = a3 + b3 + c3, = 8. If a = 2, b = 3, c = 5, and d = 6, find the value of the following expressions: (2a+3b) (4cd), (a+b+c-d) (a2c+ 4d), (2b - 3 d) (a + b − 3c + d), a2 — b2 + c2 − ď2, (a3 +b3) (a2b+b2c + c2d), and (a + b + c + d) 3 − a3 − b3 — c3 – d3. 9. Find the value of 3 – 3x2 + 3 x − 1, when x 3. 10. when x = 11. Find the value of √3a + √2x - √1 - 4x, 1/2. Replace the radical signs in the following expressions 2. and x2 + ax + 3a2. -1 -2 Add together aTM+4ax-1+a2x2, 3x+2a2x2+a", 5. Add together a3 + a2 b − a b2 + b3, a3 − (a2b+3ab3) — 2b", and 2 a3 -a a2b+2ab2 + b3. 6. Add together a (b + c − d), b (a + d −c), c(a + d - b), and d (b+ca). 7. 8. 9. Add together a2 {b − (c — d)}, ab {b + (a — c)}, Add together (3a + 2b + c) x, (2a – 3b – 4c) x, Add together ax-by, x-y, and (a − 1)x + (b + 1) y. 10. Add together 2x2 + 3 (xy − y2), x2 − y (2x + 3y), and a (y-3) + y2. 11. 12. 13. 14. 15. 16. Add together (a+2b)x-(3a-4b)y, 2 a(x+y)+b(x−y), and 4a+3by. Add together a-{b−(c–d)}, a−b - (c–d), a+b−c+d, Add together 2a3+3a2b−ac2 + c3, a3 +2 ac2 − b3 + 3c3, 3a2b+4ab2 - b3c, and b3 – 3ab2 - 5a2b – 4c3. Add together 3a2-4a3b+ab3+7a2 b2, 2a+a3b-6ab3+b1, and 3a3b+5 a b3 – 6a2 b2. Add together a2b2c2-a1b2+3ab3 c2, abc1+4a2b* ÷ a1b2, and ab3 c2 + 2 a2b1 — b. Add together a2 − (ab+b2), 2 a2 — (3 ab−4b2), and 4ab+3b2. 17. Add together 17 a3 +25bab - 71ab2 + 28b3, 18. Add together 121 a' - 31 a3b + 60a3 b2 + 28 a b3 — 40b*, 30a++ 27 a3b - 15a2b2 + 37 ab3 + 12b1, 17 a1 15 u3 b 40a2b2 52 ab3 +7b*, 4. 5. Subtract a2x + aby + 2b2 %, from 3a (ax + by) – b2x. Subtract 24a2 x 17aa2+5x3, from 3a3+25a2 x − 3 a x2 + 10 x3. 6. Subtract 12 (a + b) x − 13 (a - b) y, from 20a (x+2y) − 15b (2 x − y). 7. Subtract 3ab4a-5b3, from 3a + 9ab3. 10. 11. 4 (2b - a). Subtract a3 + bx2y + cx y2 + dy3, from dx3 + cx2y + bxy2 + ay3. Subtract (a + b − c) x2 + (b + c d) x2y, Subtract (x − xy + 3y2) + y (2x2 + 3xy - 2y), 12. Subtract a {b-(cd)}, from 2a+3b (2c - d). 13. 14. Subtract 2 a3-3a2b+ab2+ab3, from 5 a+a®b-6ab+b3. Subtract a1-4a3b + 6a2b2 - 7 ab* + b2, from 3a1 a3b + 7 a2b2 6 ab3 + b1. Subtract a2 + b2 + c2 - d2, from a2b2- c2 + d2. 18. Subtract 256a3 - 317a2b+19a b2 - 36b3, – from 278 a3 311a2b-21 ab2 + 14b3. MULTIPLICATION. 2 1. Multiply together a2xy', ax3y3, and a3x3y. 4 5. Multiply together x-x5y+x1y — x3y3 + x2 y1 — x and x + y. 6. Multiply together 2ab+3a2 b2 — ab3 + 4b1, +yo, 7. Multiply together a1 - 23y + 4x2y2 − 8xy3 + 16y', 2x + 3, and ∞2 − ∞ + 1. 9. Multiply together + 2, and a + 3x — 1. 11. Multiply together a2+b2+c2-ab-ac-bc, and a+b+c. 12. Multiply together a* (b − c) + a3 (ab – bc), 1 and a3 (ab + bc). 13. Multiply together a − 1, x 2, and ≈ – 3. 15. Multiply together x2 - 2x + 1, x2 + 2x + 1, Multiply together xa, xb, and a c. 16. Multiply together a + b, ab, a2 - ab + b2, and a2 + ab + b2. |