 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.  School Algebra - Page 74by John Marvin Colaw - 1903 - 432 pagesFull view - About this book
 | Arthur Schultze - Algebra - 1906 - 584 pages
...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 the difference... | |
 | John William Adamson - Education - 1907 - 548 pages
...formula being translated • into ordinary language and committed to memory in the latter form — eg the square of the sum of two numbers is equal to the sum of their squares added to twice their product. Memoriter work has become so discredited in recent... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus twice the product of the two numbers plus the square of the second. 88. Similarly we obtain the square of... | |
 | John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 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. Give answers:... | |
 | William James Milne - Algebra - 1908 - 476 pages
...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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 520 pages
...exhibited in the figure, page 83. Translated into words this identity is : The square of the sum of any two numbers is equal to the square of the first plus twice the product of the two numbers plus the square of the second. 88. Similarly we obtain the square of... | |
 | Arthur Schultze - Algebra - 1918 - 336 pages
...the preceding type of examples deserve special mention : П. III. 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 the difference... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 pages
...(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 square of the first number plus twice the product of the first and second, plus the square of the second. Similarly, (a... | |
 | Charles H. Gleason, Charles Benajah Gilbert - Arithmetic - 1910 - 288 pages
...= 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... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...a" is the square whose side is the line a. ab (a-bf nt> b(b> AREAS OF POLYGONS. ALGEBRAIC THEOREMS. The square of the sum of two numbers is equal to the sum of their squares plus twice their product. The product of the sum and the difference of two numbers... | |
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