\fdO'^ - Old Forge Coal Mines

(d)
ALGEBRA. 103
Removing the parenthesis, we have
7a- [da—{2a — 5a-\-^a\].
Removing the brace,
Removing the brackets,
7a — [3a — 2a -{- 5a — 4«].
7a — da -\- 2a — 5a -{- Aa.
Combining terms, the result is 5a. Ans.
(c)
Removing the parentheses, we have
a—\2b-\- {3c — 3a — a —b\-{-\2a ~ b — cW
Removing the braces,
a—\2b-\-3c — 3a — a — b-\-2a — b— c\.
Removing the brackets,
a — 2b —3c -\- 3a -\- a -\- b — 2a -\- b -]- c.
Combining like terms, the result is 3a — 2c. Ans.
(1 93) {a) {x' + 8) = (,r + 2) {x' - 2x -\- 4). Ans.
{b)
X* - 27y* = {^- 37) {x^ + 3xy +9/). Ans.
(c) xm— nm -j- xy — ny = in (,f —ri) -\- y{x — «),
or (^ — n) {in + j).
Ans.
(Arts. 466 and 468.)
(194) Arrange the terms according to the decreasing
powers of x. (Art. 523.)
4x* -f- 8a.r» + 4a»-r » + \U^x'^ + Xioab^x -+- \W (2^« + 'i.ax + 4