 | Webster Wells - Algebra - 1879 - 468 pages
...second. 105. "We may also show, by multiplication, that (a — 6)2 = a2 — 2 ab + b2. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice thg product of the first by the second, plus the square of the second. 106. Again, by multiplication,... | |
 | Thomas K. Brown - Algebra - 1879 - 292 pages
...in which we cannot tell at once what the root is. Theorems I. and II. are, The square of the gum or difference of two quantities is equal to the square of the first, =t twice the product of the first and second, + the square of the second. Therefore we first take the... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...6 a5 V c4 + 9 a4 iв c8. THEOREM II. 11, The square of the difference of two quantities ii equal tc the square of the first, minus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...second. 105. We may also show, by multiplication, that (a - {,)* = a» - 2 a I + !>-. (2) That is, The square of the difference of two quantities is...of the first, minus twice the product of the first by the second, plus the square of the second. 106. Again, by multiplication, we have That is, The product... | |
 | Edward Olney - Algebra - 1880 - 354 pages
...square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. — The square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. 87. THEO. — The product of the sum and difference of two quantities... | |
 | Charles Scott Venable - Algebra - 1880 - 168 pages
...Zab + V. . . . (B), which expresses the Rule :—Tlie square of the difference of two quantities is the square of the first, minus twice the product of the first by the second, plus the square of the second. Ex. 1. (x - 5)" = x' - 10ж + 25. Ex. 2. (За - 2o)"... | |
 | James Mackean - 1881 - 510 pages
...increased by twice their product. II. Multiply а - b by itself. а - b а - b a2- ab - аb + b2 Or, the square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. III. Multiply a + b by a - b. a + b a - b а2+... | |
 | William James Milne - Algebra - 1881 - 360 pages
...What signs connect the terms of the power? ELEMENTS OF ALGEBRA. 77. PRINCIPLE. — The square of Oie difference of two quantities is equal to the square of the first quantity, minus twice the product of the first and second, plus the square of f/ie second. EXAMPLES.... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...product of the first and second, plus the square of the second. Likewise we learn that which means that the square of the difference of two quantities is...the first and second, plus the square of the second. 128. Reversing these two formulas, we have A 2 + 2 AB + B2 = (A + B) (^ + B) = (A + By, A 2 -2AB +... | |
 | Edward Olney - Algebra - 1882 - 358 pages
...square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. — The square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second, 87. THEO. — The product of the sum and difference of two quantities... | |
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The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second. 
