| Ebenezer Bailey - Algebra - 1835 - 258 pages
...a — b 1 fe — 6 a — b a2 — 06 . . ' _ a 6 4. 62 n« *- 2 ab + 6s. That is, <Ae second power **of the difference of two quantities is equal to the sum of their** second powers, diminished by twice their product. . , 20. An artist sold to A and B two pictures for... | |
| 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...the sum of their squares, minus twice their product.** Let a be the greater of two quantities, and b the lesSi then a — b will be the difference and (a... | |
| Silas Totten - Algebra - 1836 - 332 pages
...thus, X (8a25 + 10a6), and 36a2^ + 60a3#3 + 25a4#2 = (6a#2 + 5a2#)2, or 2-) x (6a#2 + 5as#). 2. 7Vte **square of the difference of two quantities is equal...the sum of their squares, minus twice their product.** Let a be the greater of two quantities, and b the less, then a — b will be the difference, and (q... | |
| Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...plus 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.... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...the 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.... | |
| 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.... | |
| 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.... | |
| Stephen Chase - Algebra - 1849 - 348 pages
...b) 2 —a2—Zab +fi3 [§ 11. N. 2.]. Hence, THEOR. II. The square of the difference of two numbers **is equal to the sum of their squares, MINUS twice their product.** See Geom. § 183. Cor. vu. Multiply a — b by a — b, and see if the same formula results. 1. (x—... | |
| 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.... | |
| 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.... | |
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