 | John Henry Walsh - Algebra - 1903 - 288 pages
...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... | |
 | Samuel Jackson - 1904 - 434 pages
...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 is... | |
 | John William Hopkins, Patrick Healy Underwood - Algebra - 1904 - 272 pages
...required product is the sum of a(a + b) and b(a + ab + V* Hence, (a + 6)2 = a2 + 2 ab + i2. Hence, The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first number and the second number plus the... | |
 | Arthur Schultze - 1905 - 396 pages
...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.... | |
 | 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.... | |
 | Arthur Schultze - Algebra - 1906 - 618 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.... | |
 | 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 years owing to a horror... | |
 | 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.... | |
 | 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... | |
 | 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 is equal to the difference of their squares.... | |
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The 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 number plus the square of the second number. 
