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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.
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 54
by Benjamin Greenleaf - 1879 - 309 pages

Arthur Schultze - Algebra - 1906 - 584 pages
...first and the second, plus the square of the second. II. The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second. III. The product of the sum and the difference of two...

## Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...numbers be divided by the difference of the numbers, the quotient is the square of the first number, plus the product of the first by the second, plus the square of the second : i. Divide 1 + 8a3 by 1 + 2 a. By § 96, 8 a3 is the cube of 2 a ; then, by the first rule, 2. Divide...

## Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 442 pages
...multiplication in the .2_ — -r_ margin, we have _ Changing this formula into a theorem, we get THEOREM II. The square of the difference of two quantities is equal...of the first, minus twice the product of the first quantity multiplied by the second, plus the square of the second quantity. 23. (a-3bf = ? SOLUTION,...

## A First Course in Algebra

Webster Wells - Algebra - 1908 - 260 pages
...ab - ab+b* Whence, (ab)2 = a*-2ab+b\ (2) That is, the square of the difference of two numbers equals the square of the first, minus twice the product of...first by the second, plus the square of the second. In the remainder of the work we shall use the expression " the difference between a and b " to denote...

## Elementary Algebra

Frederick Howland Somerville - Algebra - 1908 - 428 pages
...the second, plus the square of the second. 112. The square of the difference of two quantities equals the square of the first, minus twice the product of...first by the second, plus the square of the second. 113. The product of the sum and difference of two quantities equals the difference of their squares....

## A First Course in Algebra ; A Second Course in Algebra

Webster Wells - Algebra - 1908 - 470 pages
...a2— ab Whence, (a-6)2 = «2-2a6+b2. (2) That is, the square of the difference of two numbers equals the square of the first, minus twice the product of...first by the second, plus the square of the second. In the remainder of the work we shall use the expression " the difference between a and 6 " to denote...

## New Plane Geometry

Webster Wells - Geometry - 1908 - 329 pages
...of the algebraic theorem : The square of the sum of two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the second. AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one...

## An Arithmetic for Upper Grades

John Henry Walsh - Arithmetic - 1908 - 314 pages
...+ 200 + 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 394. Oral Exercises. Give answers: 3. 31" 5. 352 7. 3.52 9. 4. 412 6. 452 8. 4.52 10. (5£)2 11. A...