A first book of algebra, including the binomial theorem1867 |
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Página 18
... complete answer , so far as algebra can give it . Some examples of addition are here given , some worked , and some for practice . EXAMPLES . ( 1. ) ( 2. ) ( 3. ) 3m 15x 4m 3x 8m ...... ~~ 29 m 2m 18m 12x 9x X དྨེ་ེ་ ཧྥེ་ ཆེ་ ཚེ ( 7 ...
... complete answer , so far as algebra can give it . Some examples of addition are here given , some worked , and some for practice . EXAMPLES . ( 1. ) ( 2. ) ( 3. ) 3m 15x 4m 3x 8m ...... ~~ 29 m 2m 18m 12x 9x X དྨེ་ེ་ ཧྥེ་ ཆེ་ ཚེ ( 7 ...
Página 19
... complete answer , so far Some examples of addition are and some for practice . ( 1. ) ( 2. ) EXA ( 16 ) 101m'n ' mnz a α 3m a a α 5a ར་ x2y2 + 9 + * effect sig 1 xa3 + 5y * + 7z3 + 7 + 9x3 + 7x2 + 14x + 3x2 + 7ab2 + 4a + 14a2b + 7a + ...
... complete answer , so far Some examples of addition are and some for practice . ( 1. ) ( 2. ) EXA ( 16 ) 101m'n ' mnz a α 3m a a α 5a ར་ x2y2 + 9 + * effect sig 1 xa3 + 5y * + 7z3 + 7 + 9x3 + 7x2 + 14x + 3x2 + 7ab2 + 4a + 14a2b + 7a + ...
Página 22
... = - - 18cd , from which are to be taken -3cd = - — 4cd , -7cd , and 14cd . Therefore the answer is 18cd14cd - 4cd . -4ab4cd , which may be also The complete answer is written 4cd - 4ab . - ( 42. ) — xy- yz , xy — yz 22 ALGEBRA .
... = - - 18cd , from which are to be taken -3cd = - — 4cd , -7cd , and 14cd . Therefore the answer is 18cd14cd - 4cd . -4ab4cd , which may be also The complete answer is written 4cd - 4ab . - ( 42. ) — xy- yz , xy — yz 22 ALGEBRA .
Página 27
... complete answer is 3a2 + 76 . ( 6. ) From 6x2 + 8y + 3 take 2x2 + 9y + 2 . 6x2 + 8y + 3 2x2 + 9y + 2 4x2 y + 1 In this example the 2x2 taken from 6a2 leave 4x2 , and the 2 taken from the 3 leave 1. But the middle term requires 9y to be ...
... complete answer is 3a2 + 76 . ( 6. ) From 6x2 + 8y + 3 take 2x2 + 9y + 2 . 6x2 + 8y + 3 2x2 + 9y + 2 4x2 y + 1 In this example the 2x2 taken from 6a2 leave 4x2 , and the 2 taken from the 3 leave 1. But the middle term requires 9y to be ...
Página 36
... complete product , which consists of the numerical coefficient and the letters of both multiplicand and multiplier , arranged , for convenience , in alphabetical order . Thus 4a × 2b = Sab , -5c X 4d = -4cd . If the coefficient to both ...
... complete product , which consists of the numerical coefficient and the letters of both multiplicand and multiplier , arranged , for convenience , in alphabetical order . Thus 4a × 2b = Sab , -5c X 4d = -4cd . If the coefficient to both ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
Términos y frases comunes
3rd power 4th power a+b+c acres added addition algebraic fractions algebraic quantities answer arithmetic arranged B's money binomial theorem bought Clearing of fractions common difference common measures common multiples common ratio complete quotient cows cube root denominator divided division divisor equal exponent extraction figures Find the common Find the cube Find the expression Find the square find the value following examples formula gallons give given improper fraction INVOLUTION known last term less means merator miles multiplied number of days number of terms number of things numerical coefficients OXFORD STREET problem proper fraction quadratic equations quotient remainder sheep side solving square root subtraction taken tion total number Transposing unknown quantity walked whole number writing written x²+2xy x²y² yards
Pasajes populares
Página 160 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Página 39 - 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.
Página 169 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Página 120 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Página 120 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 128 - N, and divide the first term of the remainder by 3 times the square of the first term of R, the quotient will be the third term of the root.
Página 206 - Eequired the numbers. 6. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose shares were in geometrical progression ; the sum of the shares of the first and second was to the sum of the shares of the second and third as 1 to 2.
Página 88 - Divide the number 36 into 3 such parts, that* \ of the first, \ of the second, and \ of the third, shall be equal to each other.
Página 207 - Bought two flocks of sheep for 65/. 13s., one containing 5 more than the other. Each sheep cost as many shillings as there were sheep in the flock. Required the number in each flock. Ans. 23, and 28.
Página 93 - ... 2. A can do a piece of work in a days and B in b days.