 | Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...of the first and second. 2°. That (o — b) (a — i) = a* — 2o6 + V ; or, that the square of the difference of two quantities is equal to the square of the first, plug the square of the second, minus twice the product of the first and second. 3°. That (a + i) (a... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...Multiply a — b by a — b. The product is a2 — 2a6+62 ; from which we perceive, that 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. 18. Multiply a+b... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...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 equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...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 equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...the sum of two numbers or quantities is equal to the square of the first of the two quantities plus twice the product of the first and second, plus the square of the second. 2. That the product of the stun and difference is equal to the difference of the squares... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...— 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 equal to the 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.... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...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 equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. Let a represent... | |
 | James William M'Gauley - 1854 - 284 pages
..."the square of the first term plus, or minus (according as the signs of the first powers are plus or minus) twice the product of the first and second, plus the square of the second." 6. This formula is applicable to a trinomial. EXAMPLE. — For, any trimonial may be divided... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...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 equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, if we multiply... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...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 equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, if we multiply... | |
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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 and second, plus the square of the second. 
