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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. "
The Elements of Algebra - Σελίδα 75
των Elias Loomis - 1856 - 268 σελίδες
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 382 σελίδες
...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...

A Complete Course in Algebra for Academies and High Schools

Webster Wells - 1885 - 370 σελίδες
...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...

Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1885 - 412 σελίδες
...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...

A Treatise on Algebra

Elias Loomis - 1886 - 396 σελίδες
...two numbers is equal to iht square of the first, minus twice the product of the first by the see and, plus the square of the second. Thus, if we multiply a— b by a—b a2— ab - ab+tf we obtain the product a2— 2ab+b2. EXAMPLES. 1. (2a-36)2= 6. (7a2-12a6)2 =...

The New Practical Arithmetic

Waite A. Schoemaker - 1887 - 454 σελίδες
...+ 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)=...

Sheldons' Complete Algebra: Part I Being Sheldon's Elements of ..., Μέρη 1-2

1888 - 492 σελίδες
...(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 is...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)...

The Normal Elementary Algebra: Containing the First Priniples of the Science ...

Edward Brooks - 1888 - 344 σελίδες
...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...

The Normal Elementary Algebra: Containing the First Principles of the ...

Edward Brooks - 1888 - 190 σελίδες
...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...

Algebra for the Use of High Schools, Academies and Colleges

John Bernard Clarke - 1889 - 566 σελίδες
...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...

University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 330 σελίδες
...and second, plus t/ie square of the second. '2. The square of the difference of any two quanti ties, is equal to the square of the first, minus twice the...product, of the first and second, plus the square of tht a. The product of the sum and difference of tioc quantities, is equal to the square of the first,...




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