A Treatise on Algebra

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Harper & brothers, 1846 - Algebra - 346 pages
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Page 32 - 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.
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Page 189 - ... 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 is, the product of the sum and difference of two quantities is equal to the difference of their squares.
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Page 43 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

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