Page:Elementary algebra (1896).djvu/40

22 Rh 22 ALGEBRA. EXAMPLES III. d. From 1. 3x^ - 5 y^ + 8 xz take - 4 x^ + 2 ?/^ - 10 xz. 2.-8 x-^/2 + 15 x3?/ + 13 xi/ take 4 x2?/2 + 7 x^?/ - 8 xy^. 3. _ 8 + 6 a6 + a^62 take 4 - 3 «6 - 5 a'^h'^. 4. «25c + h-ca + c2a& take 3 a%c - 5 &%« - 4 d^ah. 5. _ 7 ^26 + 8 a62 + cd take 5 a^^ _ 7 «5'2 ^ e ^d. 6.-8 x^y + 5 X2/2 - x2?/2 take 8 x^^/ - 5 a:?/^ + x:hf. 7. 10 a262 + 15 a&2 + g a^h take - 10 ^2^2 + 15 (^52 _ g a%. 8. 4x2 - 3 X + 2 take - 5 x2 + 6 x - 7. 9. x3 + 11 x2 + 4 take 8 x2 - 5 x - 3. 10. - 8 ^2x2 4. 5 x2 + 15 take 9 a2x2 _ 8 x2 - 5. Subtract 11. x3 - x2 + X + 1 from x^ + x2 - x + 1. 12. 3 x^2 _ 3 r^2y + x3 - ?/3 from x^ + 3 x2?/ + 3 x?/2 + y^. 13. &3 + c3 - 2 ahc from a^ + ft^ _ 3 «?>c. 14. 7 x?/2 - ?/3 - 3 x2y + 5 x3 from 8 x^ + 7 x2?/ - 3 x^2 _ ^3^ 15. ^4 _^ 5 _f. ;^ _ 3x3 from 5 x* - 8x3 - 2 x2 + 7. 16. a3 _j. 53 _^ c3 - 3 a6c from 7 a?>c - 3 «3 ^ 5 53 _ ^3. 17. 1 — X + x^ — x"^ — x3 from x* — 1 + x — x2. 18. 1 a"^ -^c(? + ^a^ + a from «2 _ 5 ^^3 _ 7 + 7 ^^5. 19. 10 ci^h + 8 a&2 _ 8 a3&3 _ &4 from 5 a'h -6ab^-l a^b^. 20. a3 -63 + 8 ah'^ - 7 a2?, from - 8 a&2 + 15 a'^b + &3. From 21. i a;2 - i x?/ - I «/2 take - | x"^ -- xy - y^. 22. I a2 _ I ^ _ 1 take - |a2 + « - i. 23. ix2 - ix + i take 1 x - 1 + i x2. 24. f x2 - f «x take i - i ^"^ - f ci^- 25. f x3 - A x?/2 - ?/2 take | x22/ _ | ?/2 _ 1 xy2. 26. i a'^ - 2 ax2 - i a2x take i a^x + ^ a^ - | ax2.

35. We shall close this chapter with an exercise containing miscellaneous examples of Addition and Subtraction.