## A Treatise on Algebra |

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according added affected algebraic applicable arithmetical assumed becomes binomial called cents changed coefficient combinations complete consider containing continued cube root denominator denotes difference distance Divide dividend divisible divisor dollars employed equal equation example exponent expression extract factors fifth figure find the values four fourth power fraction geometrical Given gives greater Hence hour increased indicated inequality infinite series involving least less letters logarithm manner means method miles monomial multiplied negative obtain operation original perform polynomial positive preceding principle Prob problem progression proportion proposed PROPOSITION quotient radical ratio Reduce remainder represent Required Resolve result RULE second term seen Sheep simple solution solved square root substitute subtract successive suppose surd taken term third traveled unity unknown quantity variation Whence whole

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Page 189 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.

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Page 43 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.