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" 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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Text-book of Algebra: With Exercises for Secondary Schools and Colleges, Μέρος 1

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 σελίδες
...multiplication, we have (a + o)J = (a + 6) (a + *) = a' + 2 ab + Ьг. That is, the square of the sum of tico 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. Eg, (2x + 6»)i-(2as)I+ 2 (2 x)(5y)+(5y)* 2. By...

Text-book of Algebra: With Exercises for Secondary ..., Μέρος 1,Τεύχος 1898

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 σελίδες
...multiplication, we have (a - 6)J = (a - 6)(a - A) = a1 - 2 ab + 6s. 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 tico numbers, plus the square of the second number. Kg., (3 * - 7 y)»...

Text-book of Algebra: With Exercises for Secondary Schools and ..., Μέρος 1

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 σελίδες
...times the difference between x and y. Given two numbers, a and b, write in algebraic language : 37. The square of the first number, plus twice the product of the two numbers, plus the square of the second number. 38. The cube of the first number, plus three times...

Grammar-school Arithmetic: Including Algebraic Equations and Simple ...

John Henry Walsh - 1899 - 241 σελίδες
...by 20 20" + 20 x 5 Multiplying by 5 20 x 5 + 5' 202 + 2(20 xo) + 5» = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the secpnd + the square of the second. 132 =• (10 + 3)' = 102+2(10x3)+32...

Elements of Algebra with Exercises

George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 478 σελίδες
...multiplication, we have (a - b)- = (ab)(a- b}= a2 - tab + b2. 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. Eg, (3x-7y)*= (3...

Algebra for Schools

George W. Evans - 1899 - 433 σελίδες
...square of the second. (The identity is (a + ¿)2 = a3 + 2а¿ + 52.) 2. The square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two, plus the square of the second. 3. The square of any polynomial...

School Arithmetic; Advanced Book

John Marvin Colaw, John Kelley Elkwood - 1900 - 442 σελίδες
...33. (if + 7) (x" - 7). 35. (m - n) (m - n). 34. (c + 4d) (U + c). 36. (x + 4) (x + 5). 37. Show that 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. 38. Square a + b and a — b, and compare the results....

Secondary Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 442 σελίδες
...actual multiplication, we have (a + b)z=(a + 6) (a + 6) = a2 + ab + ba + 6» = o3 +2 ab + б». 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 x + 5 y)2 = (2 xf + 2(2 *)(5 y) + (5 3/)'...

Rudiments of Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 183 σελίδες
...actual multiplication, we have (a + 6)2 = (a + 6)(a + 6) = a2 + ab + bа + b2 = a2 + 2 ab + 6J. 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, (2x + 5y? = (2 xf + 2(2 x)(5 y) + (5 у)2 =...

Rudiments of Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 183 σελίδες
...?,)2 = 4ж2 + 20да/ + 3. By actual multiplication, we have 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. Eg, (3x-7yf = (3...




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