 | Silas Totten - 1836 - 360 σελίδες
...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 - 1838 - 1116 σελίδες
...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... | |
 | George Roberts Perkins - 1842 - 370 σελίδες
...m+3)=(5m+3)2=25m2+30m+9. Example 10 is the same as (ab) X (ab)=(ab)2 =a2 -2ab+b2, which, when translated, gives THEOREM II. The square of the difference of two quantities is equal to tho square of the first, minus twice the product of both, plus the square of the second. EXAMPLES.... | |
 | Ormsby MacKnight Mitchel - 1845 - 308 σελίδες
...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 σελίδες
...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 - 1846 - 376 σελίδες
...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... | |
 | Elias Loomis - 1846 - 380 σελίδες
...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... | |
 | Joseph Ray - 1848 - 252 σελίδες
...— ab —ab+b' a2— 2ab+b' But a — 6 is the difference of the quantities a and b; hence THEOREM II. The square of the difference of two quantities, is equal to {he square of the first, minus twice the product of the first by the second, plus the square of the... | |
 | Joseph Ray - 1852 - 408 σελίδες
...(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 - 1848 - 250 σελίδες
...— 6 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.... | |
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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. 
