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 Βιβλία Βιβλία 111 - 120 από 169 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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## First Year Algebra

William James Milne - 1911 - 320 σελίδες
...second term obtained ? the third term ? 3. What signs have the terms of the result? 85. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the firat number, plus twice the product of the first and second, plus the square of the second. Since...

## The Primer of Hydraulics

Frederick A. Smith - 1911 - 217 σελίδες
...instead of 00+06+06+66 write o*+2o6+6*. This expression also illustrates aft important principle that the square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice their product. To illustrate an application of this...

## Hopkins and Underwood's Arithmetic: Book One-two, Βιβλίο 2

...and b. Therefore, (a + b)2 = a2 + 2 ab + b*. This equation expresses in mathematical language that the square of the sum of two numbers is equal to the square of the first, plus twice the product of the two, plus the square of the second number. Example l. Square x + 9. SOLUTION....

## Durell's Introductory Algebra

Fletcher Durell - 1912 - 286 σελίδες
...SUQ. Denote the two numbers by a and 5. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. Illustrate by a numerical example. 38. State and...

## Elementary Algebra

John William Hopkins, Patrick Healy Underwood - 1912 - 341 σελίδες
...the difference of a(a — «a — ab - ab + V* and 6(a — 6). 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....

George Henry Van Tuyl - 1913 - 272 σελίδες
...find the product of two odd or two even numbers of two figures each. Multiply 23 by 19. and difference of two numbers is equal to the square of the first number minus the square of the second number." The square of 21 is 441, and the square of 2 is 4. Hence the...

## Standard Algebra

William James Milne - 1914 - 496 σελίδες
...+ b)= a2 + 2 ab + Ьг. Also that 142 = (10 + 4)2= 102 + 2 x 10 x 4 + 42 = 196. 105. PRINCIPLE. — The square of the sum of two numbers is equal to the...first number, plus twice the product of the first and second, plus the square of the second. Since 5 a8 x 5 a8 = 25 a", 3 a4b5 x 3 a466 = 9 a8b10, etc.,...

## Durell's Algebra: Two Book Course. Book One, Βιβλίο 1

Fletcher Durell - 1914 - 393 σελίδες
...SUG. Denote the two numbers by a and b. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. Illustrate by a numerical example. 38. State and...

## Durell's School Algebra

Fletcher Durell - 1914 - 523 σελίδες
...SUQ. Denote the two numbers by a and b. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. Illustrate by a numerical example. ,за State and...

## First Year Algebra

William James Milne - 1915 - 352 σελίδες
...third term ? .'• •• •!' •• 8. What signs have the terms of the result ? 85. PRINCIPLE. — The square of the sum of two numbers is equal to the...first number, plus twice the product of the first and second, plus the square of the second. Since 5 as x 5 a3 = 25 a«, 3 a4&» x 3 a4be = 9 a8&10,...