 | Elias Loomis - Algebra - 1846 - 380 pages
...most common mistakes of beginners is to call the square of o + b equal to a2 + 62. THEOREM II. (61.) The square of the. difference of two quantities, is...square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b a2—ab —... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...most common mistakes of beginners is to call the square of а + b equal to a2 + 62. THEOREM II. (61.) The square of the difference of two quantities, is...square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b We obtain the... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...39. To form the square of a difference a — b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the Jirst by the second, plus the square of the second. 1. Form the square of 2a — b. We have 2. Form... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...(2+5)2=4+20+25=49. ALGEBRAIC THEOREMS. 3 . (oa+iy) 2=aV+2 abxy+tfy*. 4. (ax2+3;i:z3)2 ART. 79. THEOREM II. — The square of the difference of two quantities is...square of the first, minus twice the product of the first by the second, plus the square of the second. Let a represent one of the quantities, and b the... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a— 6 a2 — a6 — ab+V But a—b is the difference of tho quantities a and b ; hence THEOREM II. The square of the difference of two quantities, is...square of the first, minus twice the product of the first by the tecond, plus the sqitare of the second. EXAMPLES. 1. (5-4)*=25-40+16=l. 2. (2a— 6)2=4a2... | |
 | James William M'Gauley - 1854 - 284 pages
...—d c2— erf -cd+d2 Product c2— 2cd+d2 The following formula is obtained from this example : — "the square of the difference of two quantities is equal to the sum of their squares, minus twice their product." 38. EXAMPLE 4 — Multiply a2+2a6+62 By a +b Product... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...the most common mistakes of beginners is to call the square of a+b equal to a'+b'. THEOREM II. (61.) The square of the difference of two quantities is...square of the first, minus twice the product of the first and second, plus the square of the second. Thus, if we multiply a — b By a- b a'- ab - ab+b'... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...the most common mistakes of beginners is to call the square of a+b equal to a'+b\ THEOREM II. (66.) The square of the difference of two quantities is...square of the first, minus twice the product of the first and second, plus the square of the second. Thus, if we multiply a —b by a —b a'- ab - ab+b'... | |
 | William Dexter Wilson - Logic - 1856 - 464 pages
...We say, for example, that the square of any Binomial, as a + 5, is the square of the first term plus twice the product of the two, plus the square of the second, or a? + lah + b*. And this is shown to be true from the nature of the Process or Method itself, as... | |
 | William Dexter Wilson - Logic - 1856 - 456 pages
...say, for example, that the square of ^any Binomial, as # + 5, is the square of the first term*plus twice the product of the two, plus the square of the second, or <tf + %ab + 52. And this is shown to be true from the nature of the Process or Method itself, as... | |
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... the square of the second. In the second case, we have (a — &)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 the product of the two, plus the square of the second. 
