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Basic Algebra Rules

Basic Algebra Leta,b,c, anddbe numbers.(a)You can break up a fraction from a sum in the numerator, butnotin the denom-inator:a+bc=ac+bcbutab+c6=ab+ac(b) Cancellation of thechere requires that it appears ineachadditive term of thenumerator and denominator:ca+cbcd=c(a+b)cd=a+bdbutca+b cd6=a+bd(c)Compound fractions can be simplified by using the rule division is the same asmultiplication by the reciprocal :abcd=ab cd=ab dc= Logs. Letaandbbe numbers.(a)Natural logs distribute in a funny way over products and quotients:ln (ab) = lna+ lnbln (ab) = lna lnbbut they donotdistribute over sums:lna+b6= lna+ lnb(b)Natural logs can help you work with exponents by bringing them down :ln (ab) = Leta,b,m, andnbe numbers.

Basic Algebra Rules 1. Fractions. Let a,b,c, and d be numbers. (a) You can break up a fraction from a sum in the numerator, but not in the denom-

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