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Βιβλία Βιβλία 91 - 100 από 173 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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College Algebra

James Harrington Boyd - 1901 - 777 σελίδες
...The first example gives the value of (a -)- b) (a -f- b), that is, of (aj-6)8; we thus find Hence, the, square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice the product of the first times the second. Again we...

Elements of Algebra with Exercises

George Egbert Fisher, Isaac Joachim Schwatt - 1902 - 478 σελίδες
...Expression. 1. By actual multiplication, we have (a + 6)2 = (a + 6) (а + Ь)=а3+2аЬ + Ь\ That is, the square of the sum of two numbers is equal to the...of the first number, plus twice the product of the two numbers, plus the square of the second number. Eg, 2. By actual multiplication, we have (a - 6)2...

The Arithmetic Help, for Pupils, Teachers, Business Men

Alvord D. Robinson - 1902 - 515 σελίδες
...use the exponent to save + ab + b3 repetition. From the work, the following principle is derived: — The square of the sum of two numbers is equal to the square of the first, plus two times the first by the second, plus the square of the second. 2. Multiply а - b by a ~b,...

Advanced Algebra for Colleges and Schools

William James Milne - 1902 - 608 σελίδες
...the sum of two numbers obtained from the numbers? 3. What signs have the terms ? 91. PRINCIPLE. — The square, of the sum of two numbers is equal to the square of the ßrst number, plus twice the, product of the Jirxt and second, plux the minare of the second. Since...

New Grammar School Arithmetic, Μέρος 2

John Henry Walsh - 1903
...Multiplying by 20 202 + 20 x 5 Multiplying by 5 20 x 5 + 52 202 + 2(20 x 5) + 52 = 400 + 200 + 25 = 625. 414. 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. 132=(10 + 3)2= 102 + 2(10x3)+32=?...

School Algebra

John Marvin Colaw, John Kelley Ellwood - 1903 - 432 σελίδες
...the sum of two numbers. By multiplication, we have (x +/)2 = O +/) O +/) = x' + 2 xy +/-. That is, the square of the sum of two numbers is equal to the square of the first, plus twice their product, plus the square of the second. Thus, and = 42+2(4x3) + 32 = 49; x26) +462,...

Elementary Algebra

John Henry Tanner - 1904 - 364 σελίδες
...+ b2.* This formula may be translated into words thus : the square of the sum of two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. etc. (ii) The square of the difference of two numbers....

Commercial Arithmetic...

Samuel Jackson - 1904 - 406 σελίδες
...Involution. In squaring and cubing numbers the following Algebraic principles are very useful : — (1) The square of the sum of two numbers is equal to the sum of the squares of the numbers 4- twice the product. (2) The square of the difference of two numbers...

A First Book of Algebra

John William Hopkins, Patrick Healy Underwood - 1904 - 245 σελίδες
...product is the differa2 — ab ence of a(a — 6) and b(a—b). Hence, The square of the difference of two numbers is equal to the square of the first number minus twice the product of the first number and the second number plus the square of the second number....

Elementary Algebra

Arthur Schultze - 1905 - 373 σελίδες
...special mention : П. (а-6)2 = а2III. (а + 6) (а -6) = а2 -Ь3. 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...




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