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An algebraic expression contains one or
more terms.
Example:
3x + 10
A term is
1) a
single variable
2) a
single constant
3) a
product of variables, or variables with
constants
Example:
x
Example:
100
Example:
3x
Example:
x/y
Example:
3ky
Grouping symbols ( ), [ ], and { } can turn
an expression into a term if that expression
is used in multiplication or division.
Example:
(3x + 4)*(z - 3) -->
two terms (3x+4) and (z - 3)
and each of these terms are expressions
with two terms apiece.
So, terms are created using multiplication
and/or division of variables and/or constants,
and expressions are created using addition
and/or subtraction of terms.
Example:
ax2 + bx + c
an expression with 3 terms: ax2,
bx, and c
Example: 6b3ab2d
an expression with 1 term
Example:
(-a2x - by + c)/(23 - 5x2)
an expression with 1 term.
This term is the quotient of 2
expressions: (-a2x - by + c) and (23 - 5x2)
the numerator containing 3 terms: -a2x,
- by, and c,
and the denominator containing 2 terms: 23
and - 5x2
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