Solution to

Sometimes parentheses are used to indicate multiplication. For

Frame 1-34

example, 6 x 7 can also be written as (6)(7). Parentheses are often used

in algebra in which letters are used to represent numbers. This allows a

a. 52

(26 x 2)

general formula to be developed. For example, the quantity a+b

4)

multiplied by the quantity c+d can be represented by:

b. 5

(20

(a + b) (c + d) = ac + ad + bc + bd

NOTE: "ac" means the quantity "a" multiplied by the quantity "c;" "ad"

means the quantity "a" multiplied by the quantity "d;" "bc" means the

quantity "b" multiplied by the quantity "c; and "cd" means the quantity

"c" multiplied by the quantity "d." Similarly, "a" times the quantity "b+c"

can be written as "a(b+c)."

Test the general formula "(a + b) (c + d) = ac + ad + bc + bd" by letting

a = 10, b = 2, c = 30 and d = 4; then check by multiplying 12 x 34.

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MD0900

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