Elementary Algebra Revised

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7a;-10-ar^ 9.
10.
6-5x + x' ' x^-ix+i (a;-l)^-a^ . x'-jl-af (x-af-l ' ar^-(a-l)2' ~, a'-3a ^ a^ + 3a + 9 . a'-27 12.
a?+3a" a + 3 (a + 3/ a^ - a; - 12 a^-2a;-3 . x- + x 9^_9 ^a^_2a;-8'' a; -2' .„ a? — ax — a + x a? — ?> lo. — -- — z — X 14.
2 — 3a + a^ a^—x^ a? + ax + 01?
g^ + l ^ a- + fa + !)'(«- ly _ «" + !
a^-1 a-(a2+l) +1 ' a?-l' 171. When addition and subtraction with multiplication and division occur in the same fractional algebraic expression the additions and subtractions are first perf
...ormed.
Illustration : Simplify f^-^Vf 3.- 6+ ^^ > a; — 2 a; + 2/ V a' + 2_/ lx + \ x-l\./.,^ g 12 \ r (3:+1)Cr»: + 2')-(a;-l)(a -2)-[ Vs-2a: + 2JV x + lj \_ x''-i J ■ L a; + 2 J 6x 3a;2 a;2 - 4 x + 2 6x x + 2 "x2-4 ' 3a;2 = ?^ • Result.
a; (a; - 2 j DlVISmX OF FRACTIONS 143 Simplify : Exercise 48 (See also page 402) 1.
2. x + 1- X — S\ /'x — m _ o \ / 3m \ •' ! mj \m' — dm + 9/ V .(• / \ III- — _' vix — o x-j \u J 6. M>+i+~'V('--i+- 7.
8.
9.
1 c e^- oic- a + ; + l]f|±^_l _1> ((- — z^ { c + 2r-,r- 2 a 11 (c + 2)^-(c-2)^ .


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