First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
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Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 126
... divisible by either a − b or a + b without a remainder ; that is , is it " exactly divisible " by a - b and a + b ? To answer , let us divide out and see . a3 + ( _ ) + ( _ ) — b3 a - b a3 + ( ) + ( ) -b3a + b a3- a2b a2b + ( ) a2b + ...
... divisible by either a − b or a + b without a remainder ; that is , is it " exactly divisible " by a - b and a + b ? To answer , let us divide out and see . a3 + ( _ ) + ( _ ) — b3 a - b a3 + ( ) + ( ) -b3a + b a3- a2b a2b + ( ) a2b + ...
Σελίδα 127
... divisible by the difference of the numbers , while the sum of the cubes of two numbers is divisible by the sum of the numbers . EXERCISES 1. Show that ( as stated above ) the quotient of a3 + b3 divided by a + b is a2 - ab + b2 . 2 ...
... divisible by the difference of the numbers , while the sum of the cubes of two numbers is divisible by the sum of the numbers . EXERCISES 1. Show that ( as stated above ) the quotient of a3 + b3 divided by a + b is a2 - ab + b2 . 2 ...
Σελίδα 136
... divisible by two or more other numbers is called a common multiple of them . Thus , 48 is a common multiple of 6 and 12. Likewise , in algebra , an expression which is exactly divisible by two or more other ex- pressions is called a ...
... divisible by two or more other numbers is called a common multiple of them . Thus , 48 is a common multiple of 6 and 12. Likewise , in algebra , an expression which is exactly divisible by two or more other ex- pressions is called a ...
Σελίδα 137
... divisible by each of them , as follows from 87. For example , 12 , which is the L. C. M. of 2 , 3 , 4 , and 6 , contains 2 six times , 3 four times , etc. Likewise , the L. C. M. of ab and 5 b2c is 5 ab2c , and this contains both ab and ...
... divisible by each of them , as follows from 87. For example , 12 , which is the L. C. M. of 2 , 3 , 4 , and 6 , contains 2 six times , 3 four times , etc. Likewise , the L. C. M. of ab and 5 b2c is 5 ab2c , and this contains both ab and ...
Σελίδα 138
... divisible by anvirden , the first is called a multiple of the second . This sample of 4. Likewise , in algebra , x2y2 is a multiple KI TRASA multiple of y and of zy . Similarly , a2 - 4 b2 is a mul- see Formula VII and of a + 2 b . 86 ...
... divisible by anvirden , the first is called a multiple of the second . This sample of 4. Likewise , in algebra , x2y2 is a multiple KI TRASA multiple of y and of zy . Similarly , a2 - 4 b2 is a mul- see Formula VII and of a + 2 b . 86 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
added algebra Appendix arithmetic Axiom ball called cents check your answer coefficient common denominator common factor common multiple completing the square cube diameter divisor Draw the graph equal EXAMPLE EXERCISES Solve figure Find the L. C. M. Find the number Find the value following equations following exercises following expressions fraction further exercises given equation gives highest common factor HINT illustrated inches length lowest common means metic miles an hour minuend monomial multiply negative numbers numerator and denominator ORAL EXERCISES parentheses perfect square polynomial quadratic quadratic equation quotient radicand radius ratio represents result Similarly Simplify simultaneous equations SOLUTION Solve the equation square root subtract subtrahend SUPPLEMENTARY EXERCISES surd triangle trinomial unknown letter weight wheel write WRITTEN EXERCISES x²y² yards
Δημοφιλή αποσπάσματα
Σελίδα 17 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 235 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 228 - A and B can do a piece of work in 10 days, A and C in 12 days, and В and C in 20 days.
Σελίδα 97 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 136 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Σελίδα 232 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Σελίδα 232 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Σελίδα 98 - That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.
Σελίδα 69 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Σελίδα 235 - Arrange the terms of the polynomial with reference to the consecutive powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the given polynomial.