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Βιβλία Βιβλία 101 - 110 από 169 για That is, the square of the sum of two numbers is equal to the square of the first....
" That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 309
των George Roberts Perkins - 1851 - 342 σελίδες
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Elementary Algebra

Arthur Schultze - 1905 - 449 σελίδες
...special mention : II. (ab)- = a-- III. (а + 6)(а-6) = о2-о2. Expressed in general language: I. Tlie square of the sum of two numbers is equal to the square of the first, plus twice the product of ike first and the second, plus the square of the second. II. The square of...

Advanced Algebra

Arthur Schultze - 1906 - 562 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language : I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. The square of...

Advanced Algebra

Arthur Schultze - 1906 - 562 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language: I. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second. II. TJie square...

Standard Algebra

William James Milne - 1908 - 464 σελίδες
...that (a + 6) (a + 6) = a? + 2 ab + b2; also that (x + y)(x + y) = я? -\-2xy + f. 105. PRINCIPLE. — The square of the sum of two numbers is equal to the...square of the first number, plus twice the product of t be first and second, pins the square of the second. Since 5 a3 X 5 a3 = 25 a6, 3 aV x 3 a465 = 9...

An Arithmetic for Upper Grades

John Henry Walsh - 1908 - 298 σελίδες
...+ 20 times 5 + 52 (20 + 5) times (20 + 5) = 202 + twice (20 x 5) + 52 ; or 400 + 200 + 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 394. Oral Exercises....

Standard Algebra

William James Milne - 1908 - 464 σελίδες
...ab + &2; also that (x — ?/)(» — у)=я? — 2 108. PRINCIPLE. — 7%e square of the difference of two numbers is equal to the square of the first number, minus twice the ¡induct of the first and second, plus the square of the second. EXERCISES 109. Expand...

Secondary-school Mathematics, Τόμος 1

Robert Louis Short, William Harris Elson - 1910
...(a + 6)2 ={f + 3 ab + 62. Or, stated in words : (o is the first number and 6 is the second number. ) Th,e square of the sum of two numbers is equal to...the first number plus twice the product of the first and second, plus the square of the second. Similarly, (a - 6)2 = 62 - 2 ab + 62. Or, Tlie square of...

The Gilbert Arithmetics, Βιβλίο 3

Charles H. Gleason, Charles Benajah Gilbert - 1910
...= b, then (a + 6) 2 = a 2 + 6 2 + 2 ab. Prove it by finding the square of a + b by multiplication, The square of the sum of two numbers is equal to the sum of the squares of the numbers plus twice their product. 15=10 + 5. Then 15 2 = 10 2 + o 2 + 2 x...

First Year Algebra

William James Milne - 1911
...term obtained ? the third term? 3. What signs have the terms of the result? 85. PRINCIPLE. — TJie square of the sum of two numbers is equal to the square...first number, plus twice the product of the first and second, plus the square of the second. Since 5 a3 x 5 a3 = 25 a6, 3 aW x 3 aV = 9 a3610, etc.,...

An Introductory Algebra

John Henry Walsh - 1911 - 214 σελίδες
...SQUARES OF NUMBERS The square of a quantity is obtained by employing the quantity twice as a factor. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the second + the square of the second. The square of the difference...




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