 | Benjamin Greenleaf - 1883 - 344 pages
...i4 4- 6 a5 #" c4 -f-- 9 a4 4*c". THEOREM II. 77i The square of the difference of two quantities il equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. For, let a represent one of the quantities, and b the... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...plus 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...square of the first, minus twice the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That... | |
 | Webster Wells - 1885 - 368 pages
...plus the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2) That is, the square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...plus the square of the second. In the second case, we have (a — 6)2 = a2 — 2 ab + 62. (2) That is, the square of the difference of two quantities is...square of the first, minus twice the product of the two, plus the square of the second. In the third case, we have (a -\-b)(a — b) = a2 — 62. (3) That... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1885 - 412 pages
...sum of two quantities is equal to the sum of their squares increased by twice their product. RULE 2. The square of the difference of two quantities is equal to the sum of their squares diminished by twice their product. L Заб3. 1 «;v. 3. 7аЬ2. 4. Ш2А 5. 4а466.А... | |
 | Waite A. Schoemaker - Arithmetic - 1887 - 454 pages
...+ 2, 6 + 3, 2 + 4, 5 + 2. The square of the sum of two numbers equals the square of the first, plus twice the product of the first and second, plus the square of the second. 1. Considering 3% to equal 30 + 2, Process. find its square. s°2 — 900 , T Ti « j 4i 2(30 x 2)=... | |
 | Algebra - 1888 - 492 pages
...6889. (72)2 = (70 + 2)2 = 4900 + 280 + 4 = 5184. (104)2 = (100 + 4)2 = 10000 + 800 + 16 = 10816. 88. II. The square of the difference of two quantities...of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (x — yY = a* — 2xy + y2. g. (x — 5) (x- 3)... | |
 | Edward Brooks - Algebra - 1888 - 344 pages
...mathematician». THEOREM I. The square of the sum of two quantities equals the square of the first, plus twice the product of the first and second, plus the square of the second. Let a represent one of the quantities, and 6 the other; OPERATION. then a + b will represent their... | |
 | Edward Brooks - Algebra - 1888 - 190 pages
...mathematicians. THEOREM I. The square of the sum of two quantities equals the square of the first, plus twice the product of the first and second, plus the square of the second. Let a represent one of the quantities, and b the other ; OPERATION. then a + b will represent their... | |
 | John Bernard Clarke - Algebra - 1889 - 566 pages
...quantities, plus twice the product of the wi 2 4* 2wwi —j— n quantities themselves. 70. Theorem.—The square of the difference of two quantities is equal...the first and second, plus the square of the second. Let m and n represent any two quantities; the difference between m — n them is m—n. The product... | |
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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. 
