Algebra for Schools and Colleges |
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a²+2ab+b² a²b a²b² a²x a³b a³b² a³b³ ab+b² ab¹ ab² ab³ algebraic arithmetical ax² b²)² binomial factors Clearing of fractions coefficient common factor Complete divisor Completing the square continued fraction convergent cube root decimal divided divisor equal EXAMPLE EXERCISE exponent expression Extract the square Find the H. C. F. find the number form of x² formula given gives harmonical mean Hence integral last term least common Least Common Multiple letters logarithm mantissa minus mixed surd monomial Multiply numbers whose product numbers whose sum operation indicated parenthesis Perform the operation permutations polynomial positive integer quadratic equation quotient radical Reduce remainder result second terms Solve the following square root subtract Transpose and unite trinomial unknown quantities Va² x²y x²y² xy³
Popular passages
Page 20 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 21 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 217 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 271 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 220 - If three quantities are in continued proportion, the first is to the third as the square of the first is to the square of the second. Let a : b = b : c. Then, 2=*. b с Therefore, ^xb. = ^x± b с bb Or °r
Page 214 - In any proportion, the product of the means equals the product of the extremes.
Page 284 - For the first place can be filled in n ways, the second in n - 1 ways, the third place in n - 2 ways, and the rth place in n - (r - 1) ways.
Page 258 - If the coefficient of any term be multiplied by the exponent of a in that term, and the result divided by the exponent of x in the term increased by 1, the quotient will be the coefficient of the next following term.
Page 82 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.