A Review of Algebra

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3p-8p*-35.
Factor, using radicals instead of exponents : 15. 60-7V3^-66. 16. 15m-2Vmn-247i.
17. A—h (factor as difference of two squares).
18. A—h (factor as difference of two cubes).
19. A — h (factor as difference of two fourth powers).
20. Find the H. C. F. And L. C. M. Of a:^ + a;i/* - 2 ?/, 2 ar^ + 5 xy'^ + 2 ?/, 2 aj2 — xy^ — y, x — 7 x — S_x — 4z X — 5 x—S x—9 x—5 x—6 (Princeton, ) 21. Solve (short method) c a h ^^ 22- Simplify ^^^_^_^ X he ca ah ' (a-Jrh+ cf _ 2 ah -j-hc-^-ca 32 MISCELL
...ANEOUS EXAMPLES MISCELLANEOUS EXAMPLES, ALGEBRA TO QUADRATICS {Continued) 1. Solve fori): 2^-3 = 128.
2. Solve for ^: r2=:-27.
3. Eind the square root of 8114. 4064. What, then, is the square root of . 0081144064 ? of 811440. 64 ? From any of the above can you determine the square root of . 081144064 ?
4. The H. C. F. Of two expressions is a{a — 6), and their L. C. M. Is a2&(a -f- 6)(a — &). If one expression is ab(a'^ — b'^), what is the other ?
5. Solve (short method) : 5 _ 2 j: g; - 3 7-x 4 a;+ll 11 a; -j- 5 _ ^ 6.


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