Books Books
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

## Fish's Arithmetic Number One[-two]: Oral and Written ..., Volume 2

Daniel W. Fish - Arithmetic - 1883 - 348 pages
...square of 20 + 7 or 27. PRINCIPLE.— TJie square of a 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. Using t and u respectively to denote the tens and units of a number, we have the FORMULA : I" + 2 x...

## Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 364 pages
...27. 729 = x 20 x7 + 72 PRINCIPLE. — The square of a 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 ths square of the units. Using t and u respectively to denote the tens and units of a number, we have...

## A New Complete Arithmetic: Uniting Oral and Written Exercises

Emerson Elbridge White - Arithmetic - 1883 - 368 pages
...AND RULE. ART. 361. Principle. — The square of a number, composed of tens and unite, is equal to the square of the tens, plus twice the product of the tens by the unit*, plus the square of the units. ART. 362. To extract the square root of a number: Rule. — 1....

## Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive ..., Book 2

Daniel W. Fish - Arithmetic - 1883 - 360 pages
...20 2 + 2x 20x7 + 72 PRINCIPLE. — T/ie square of a number consisting of tens and units is equal to the square of the tens, plus twice the product of the tens by the umts, plus the square of the units. Using t and и respectively to denote the tens and units of a number,...

## Complete Arithmetic Combining Oral and Written Exercises

Indiana. State Board of Education - 1886 - 360 pages
...square of 25. By analyzing the foregoing we find that 625, when compared with its square root, contains the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. Q 2 = 81 From the squares in the margin we may 99 3 = 9801 infer that the square of any number con125...

## Numbers Applied, a Complete Arithmetic, Part 1

Andrew Jackson Rickoff - Arithmetic - 1886 - 688 pages
...where we may find them in the product. Thus, In this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. v- Q It may be shown that the same is true of any number. Raise the following numbers to the second...

## Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...letters, we get the result <* + 2<w + it8. Hence, The square of a number expressed by two figures, equals the square of the tens, plus twice the product of the tens into the units, plus the square of the units. In like manner find the square of each of the following...

## Numbers Applied

Andrew Jackson Rickoff - 1888 - 464 pages
...where we may find them in the product. Thus, in this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. It may be shown that the same is true of any number. Raise the following numbers to the second power,...