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Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
A Treatise on Algebra - Page 139
by Elias Loomis - 1873 - 360 pages

## Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...From this example it can be seen that the square of a numbeď whose figures are tens and units equals The square of the tens plus twice the product of the tens by the units plus the square of the units. 86. Find the square root of 576. OPERATION. As 576 consists of three figures, its 576 (24 Aus square...

## A Mental Arithmetic, on the Inductive Plan: Being an Advanced IntellectuaL ...

Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. — The square of any number is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. Thus, 32 is 3 tens and 2 units ; 3 tens, or 30, squared is 900 : twice 30 by 2 units is 120; the square...

## New Elementary Algebra: Designed for the Use of High Schools and ..., Book 1

Benjamin Greenleaf - Algebra - 1879 - 350 pages
...squave root. 214, The square of any number, consisting of more than one place of figures, is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. For, if the tens of a number be denoted by а, and the units by b, the number will be denoted by a...

## Bradbury's Eaton's Practical Arithmetic ...

William Frothingham Bradbury - 1882 - 416 pages
...tens figure ' of the root must be 2. Now, as the number 576 equals the square of the tens of the root, plus twice the product of the tens by the units plus the square of the units, if we subtract from 576 the square of the tens of the root, that is 202, or 400, the remainder, 176,...

## Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...EXPLANATION. We learned in Art. 371 that the square of a number composed of tens and units is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. The square of (20 + 4), or 242, is 202 + 2 X (20 X 4) + 42. Now, if the square of the tens be taken...

## A Practical Arithmetic: Designed for Grammar Schools and Academies

George E. Seymour - Arithmetic - 1880 - 332 pages
...+ 2 (20X5) + (5)! 487. Hence, The square of any number consisting of tens and units is composed of the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. 488. From this general law it follows a. That if from the square of a number, the square of the tens...

## The Bryant and Stratton Business Arithmetic

H. Bryant - 1881 - 574 pages
...used. 304. Observe further, that the square af any number separated into tens and units is equal to the square of the tens, plus twice the product of the tens by (he units, plus the square, of the units. (Art. 355, 1.) 36'J. These two principles concerning the...

## Complete Graded Arithmetic: Oral and Written, Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 450 pages
...625 _ 400 _,_ 200 + 35 RULE. — The square of any number consisting of tens and units is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. j VOLUTION. ORAL EXERCISES. 720. l. What are the two equal factors of 9? 16? 25 i 2. Name the two equal...