 | John Henry Walsh - 1903 - 288 σελίδες
...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... | |
 | John Marvin Colaw - 1903 - 444 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)... | |
 | Samuel Jackson - 1904 - 434 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 is equal... | |
 | John William Hopkins, Patrick Healy Underwood - 1904 - 272 σελίδες
...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 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.... | |
 | Arthur Schultze - 1906 - 618 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.... | |
 | Arthur Schultze - 1906 - 584 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.... | |
 | John William Adamson - 1907 - 548 σελίδες
...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... | |
 | William James Milne - 1908 - 476 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... | |
 | John Henry Walsh - 1908 - 314 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.... | |
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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. 
