## Elements of Algebra for Beginners |

### Other editions - View all

### Common terms and phrases

a+b+c a² b2 a²+2ab+b² a²b a²b² a²b³ a²x a³b a³b² a³b³ a³n ab+b² ab¹ ab² ab³ algebra arithmetical progression b³ a+b binomial cents coefficient complete divisor Completing the square cube root denominator Divide dividend equal exponent Extracting the square Factor a² figures Find the H. C. D. Find the nth Find the numbers Find the sum Find the value following equations following RULE fraction geometrical series Hence last term m²n m²n² m²x m³n mn² mn³ monomial Multiply n² m² nth term number of terms polynomial pounds PRINCIPLE PROCESS QUADRATIC EQUATIONS quotient remainder second term signs SIMULTANEOUS EQUATIONS Solve the equations Solve the following square root Subt subtract trial divisor unknown quantities x¹y x²+2xy x²+x+1 x²y x²y² x²y³ x³y xy² xy³

### Popular passages

Page 50 - 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 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.

Page 30 - Algebra, is the process of taking one quantity as many times as there are units in another quantity.

Page 34 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.

Page 121 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 139 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.

Page 65 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.

Page 40 - The Dividend is the quantity to be divided. The Divisor is the quantity by which we divide. The Quotient is the result, •which shows how many times the divisor is contained in the dividend.

Page 104 - Add to this trial divisor three times the product of the first and second terms of the root, and the square of the second term.

Page 98 - The exponent of a in the first term is the same as the exponent of the binomial, and decreases by 1 in each succeeding term.