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2ab+b² 9 a² 9 x² a b c a² b² a² b³ a²b² a²x² algebraic expressions binomial Binomial Theorem bracket cents coefficient cube root denominator digits divided dividend equal examples exponent figures Find the factors Find the greatest Find the number Find the square Find the sum Find the value following equations following Rule geometrical progression given greatest common divisor Hence integral last term least common multiple less logarithm miles an hour mixed number monomial Multiply negative number number of hours number of terms polynomial positive number quadratic equation quotient radical ratio remainder second term simplest form Simplify square root subtracted Theorem Transposing trial divisor unknown number x y z x² y² x²y x³ y² yards
Popular passages
Page 313 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 56 - ... the square of the second. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers 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 105 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 326 - The first term, common difference, and number of terms given, to find the last term. In this Case a, d, and n are given, and I is required.
Page 225 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 225 - Square the root figure, annex two ciphers, and multiply this result by three for a TRIAL DIVISOR ; divide the dividend by the trial divisor, and place the quotient as the next figure of the root.
Page 336 - Find the last term as before, then subtract the first from it, and divide the remainder by the ratio, less 1 ; to the quotient of which add the greater, gives the sum required.
Page 314 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Page 146 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Page 146 - The first term of a ratio is called the antecedent, and the other the consequent ; and the two terms together are called a couplet.