 | Silas Totten - Algebra - 1836 - 360 pages
...adding them together : thus, and 36aV + 60a3^3 + 25aix3 = (Sax2 + 5aV)2, or x X (6ax2 + 5aV). . 2. The square of the difference of two quantities is equal to the sum of their squares, minus twice their product. Let a be the greater of two quantities, and b the... | |
 | Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...twice the product 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
...second. 17. 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... | |
 | Admiralty - 1845 - 152 pages
...is equal to the sum of their squares, plus twice their product." From the 3rd of these we see that "The square of the difference of two quantities, is equal to the sum of their squares, minus twice their product." Multiply 2x+b Multiply bx*— 2x by 3x-7 by 6x*+7x... | |
 | 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 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 - 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 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... | |
 | 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 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... | |
 | 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 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.... | |
 | 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 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 by the second, plus the square of the second. 
