Elementary Algebra

Cover Elementary Algebra
Elementary Algebra
Erik Oberg
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(8). [ x ( y + x)] = + x + (y + x) =xy+x = 2x y.
Multiplication The first rule for multiplication in algebra is as follows: To find the product of two or more quantities, multiply together their coefficients, and prefix this product to the quantities expressed by symbols. Re- member that expressions such as 5a& imply the multiplication 5 X a X &. Examples: (1). 5arX 32/ = 5X#X3X2/ = 15X#X2/ = 15xy.
(2). 3aX4bX5c = 3X4X5XaX&Xc = 60afcc.
(3). 6a& X 2c = 12abc. ' (4). Xy X 3^ = Zxyz.
The second ru
...le for multiplication in algebra is: The sum of the exponents of the letters in the factors to be multiplied, equals the ex- ponent of the same letters in the product. Remember that a has, in fact, the exponent ( a ), although we never write it a 1, but simply drop the exponent when it is C 1 ). Examples: (1). A 2 X a 3 = (a X a) X (a X a X a) = a 5 .
(2). AX a 2 = a 3 .
(3). A 2 & X a = a 2 a& = a 3 &.
(4). A 2 & X a& 2 = a 2 + 6 1 + * = a 3 & 3 .
(5). AX a 2 & X aft 2 X 6 3 = a 4 & 6 .
(6). 6a& 2 X 3a 2 & 2 = 18a 3 & 4 .


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