 | Benjamin Greenleaf - 1879 - 350 σελίδες
...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 - 1880 - 498 σελίδες
...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 - 1880 - 354 σελίδες
...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 - 1880 - 168 σελίδες
...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)"... | |
 | William James Milne - 1881 - 360 σελίδες
...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.... | |
 | James Mackean - 1881 - 510 σελίδες
...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+... | |
 | Edwin Pliny Seaver, George Augustus Walton - 1881 - 304 σελίδες
...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 - 1882 - 358 σελίδες
...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... | |
 | Benjamin Greenleaf - 1883 - 344 σελίδες
...i4 4- 6 a5 #" c4 -f-- 9 a4 4*c". THEOREM II. 77i The square of the difference of two quantities il equal to 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 - 1885 - 368 σελίδες
...plus the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2) That is, 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. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That... | |
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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. 
