New Elementary Algebra |
Common terms and phrases
a b c a² b² a² b³ algebraic quantities arithmetical mean binomial factors cents Clearing of fractions coefficient common denominator common difference complete the square cube root Define degree denote Divide dividend division entire quantity equa Explain the operation Explain the solution Extract the square Find the greatest Find the sum find the values formulas fractional exponent geometrical progression Given x² greatest common divisor indicated last term least common multiple letter miles monomial Multiply negative exponents NOTE number of terms obtain perfect square polynomial positive proportion quadratic equation quadratic form quan quotient radical sign ratio Reduce remainder Repeat the Rule Required the square second member second power simple equations solution of Problem square root subtraction Theorem tion tity transposing unknown quantity Whence
Popular passages
Page 55 - 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 56 - 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 85 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.
Page 46 - Hence, The exponent of a letter in the quotient is equal to its exponent in the dividend, diminished by its exponent in the divisor.
Page 281 - Divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5. Ans. 20 and 40.
Page 176 - ... found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.