 | William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 páginas
...already established we are prepared to demonstrate the following important theorems. THEOREM I. 85. The square of the sum of two numbers is equal to the square of the first, plus twice the product of tlie two, plus the square of tlie second. PROOF. Let... | |
 | Edward Albert Bowser - 1890 - 418 páginas
...triangle having AB = AC, and if D be taken in AC so that BD = BC, prove that the square on BC = AC X CD. * The square of the sum of two numbers is equal to the sum of the squares <jf the two numbers increased by twice their product. Proposition 28. Theorem. 333.... | |
 | Webster Wells - 1890 - 604 páginas
...(Art. 8), (a + by = a2 + 2ab + b2. (1) This formula is the symbolical statement of the following rule : 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.... | |
 | John Henry Walsh - 1893 - 392 páginas
...Multiplying by 20 202 + 20 x 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 13'... | |
 | John Henry Walsh - 1893 - 426 páginas
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 132=(10... | |
 | Samuel Jackson - 1893 - 444 páginas
...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 + twice the product. (2) The square of the difference of two numbers... | |
 | Eugene L. Dubbs - 1893 - 244 páginas
...is an easy and elegant method of squaring numbers less than 100, by using an algebraic theorem : " 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 seccond, plus the square of the second."... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1894 - 166 páginas
...following process ; a + b a + b <t2+ ab + ab + b* a' + 2 ab + b* From this we deduce the following THEOREM. 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. According to... | |
 | John Henry Walsh - 1895 - 400 páginas
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 52 = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the equate of the first + twice the product of the first by the second + the square of the second. 13z... | |
 | John Henry Walsh - 1895 - 480 páginas
...Multiplying by 20 20s + 20 x 5 Multiplying by 5 20 x 5 +5' 20* + 2(20x5) + 5' = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the uquare of the first + twice the product of the first by the second + the square of the second. 13'... | |
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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. 
