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If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression.
New School Algebra - Page 11
by George Albert Wentworth - 1898

## Transactions of the Cambridge Philosophical Society

Cambridge Philosophical Society - Science - 1894 - 506 pages
...b, c, a, b, c) where a* + b" + c* = 0 for a directrix of the Absolute. Consider now two directrices (a, b, c, a, b, c) and (a,, b,, c,, a,, b,, c,) : if a line (a, b, c, f, g, h) meets each of these, then (o+/)a + (b+g)b +(c + h)c = 0, and consequently...

## Library of Useful Knowledge: On the study and difficulties of mathematics ...

Mathematics - 1836 - 530 pages
...equivalent to adding a positive. A single example in numbers will illustrate this : important, are a — (b + c) = a — b — c, and a — (b — c) = a — b + c. It is plain that these apply equally to quantities of more than two terms. To subtract a quantity then...

## The Mathematician, Volume 2

1847 - 364 pages
...because each system is not limited to six or any number of points and lines. If however the points A, B, C, A', B', C' and a, b, c, a, b', c belong to tmo collinear systems, and A, a, B, b, etc. be corresponding points ; then P the point of...

## Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - Coordinates, Trilinear - 1866 - 574 pages
...therefore only differ by the algebraical sign of the whole. Since and it follows from Art. 6 that a, b, c a, b', c a", b", c" and a, b, c a", b", c" a, b', c are of opposite algebraical sign. Hence the sign of a determinant of the third order is changed...

## New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1873 - 420 pages
...of the last three terms and inclosing them in a parenthesis, with the sign — prefixed. Hence, When an expression within a parenthesis is preceded by the sign — , the parenthesis may be remaned, if the sign of every inclosed term be changed; and Any number of terms in an expression may...

## A mathematical course for the University of London. (2nd)

Thomas Kimber - 1874 - 352 pages
...add c, the result will be correct; and the expression without the brackets should be, a — b + c. .-.a— (b + c) =a — b — c. \ and a — (b — c) = a — b + c. J ' '' As an extension of the above, take the following example : — a — (b + с — m — n + r)....

## The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...then that 1 0 + (4 + 3) = 10 + 4 + 3, and that 10 + (4- 3) = 10 + 4 - 3 ; or, if a =10, b = 4, c = 3, a + (b + c) = a + b + c and a + (b - c) = a + b - c. Here we see that the brackets were removed without altering the value of the expression. We sum up...

## A Mathematical Course for the Matriculation Examination of the ..., Part 1

1877 - 188 pages
...c, the result will be correct; and the expression without the brackets should be, a — b + c. ... a — (b + c) = a — b — c. \ and a — (b — c) = a — b + c, J < ' As an extension of the above, take the following example : — a — (b + с — m — и + r)....