28. [-yz+z2 x+y+ z) x2+3x2y+3xy2+y3+z3 (x2+2xy+y3− xz x2 + x2y+x2z 2x2y+3xy2 — x2z xy2+y3 — x2z 2. at-2a2b2+b4+4abc2-c1÷a2+2ab+b2-c2 6. 3. 9. +151-264÷3+4x+5x-24 10. 1-2x-31x2+72x3−30x1÷1+4x-10x2 12. 13. x-2x+1÷x-81 14. 6x4-96÷2x3+4x2+8x+16 15. 6x4-96÷3x-6 FACTORS. This is the splitting up of a compound quantity into simpler factors. 1. a2+2ab+b2 = (a+b) (a+b). 2 GREATEST COMMON MEASURE. Proceed as in Arithmetic, or split up into factors. 1. 3x2y2 + 6x2y3 = 3xy2 (x + 2xy) and 12xy + 9x2y= 3xy (4+3x) 2. = ×3+1) ×3+3x2+3x+1 (1 3xy?. Taking out factor 3x= x+1) æ3 +1 (x2−x+1 7. = (2x-2) 4 Ga2-18x+12= (2x−2) (3x−6) 8u3+863 and 12a2-24ab-36b2 4 (2a3 +2b3) 4 (3a2-6ab-962) 3a2-6ab-9b2) 12a3+12b3 (4a+8b 12a3-24a2b-36ab2 8. 4a3y2-8a2y3 and 2a2y2 (2a-4y) = 2a2y2 12a5y+6a1ys 2ay (6a3y+3a3y 9. (+) and 5-4-2 (x2+x)2== x2+2x+x3 Then 4+2+x2) x5-x-2 (x-3 — 3x4—6x3-3x2 3) 3x3+3.2 x2+x2) x1+2x3+x2 (x+1 + 10. 23+x-9x-9) x3-5x+2x+12 (1 x3+ x2-9x- 9 (-2-17 -62+11x+21) 6x+6x-54-54 6x-11a2-21x 23-42-25x+28_(a−7) (x2+3x-4) x2+10x+252-28 and 22+14x+49 = 13. = = 12. (x+7) (x2+3x+4) | (x+7) (23+ 3x + 4 ) }} (x-2) (x2-7x+1) -2 & x2-4(x-2) (x+2) =x+7 =x--2 (a+5) (a-1)) =a2+4a-5 15. (a+1) (a-a+1) a2-3x+2, a2-a- b+by-y2-y3 and (a-2) (a-1) = (a−2) (a+1) 17. b+by—y2—y3=(y+1) (b−y3) b2+by+b2+b 3 = b+by+ y2+ y2=(y+1) (b+ y2) |