Algebra V7 Operation of Terms
Operations of Terms
Addition and Subtraction of Similar Terms
To add or subtract similar terms add or subtract their numerical coefficient and prefix their literal coefficient.
Addition:
1. 21xy + (-10xy) = 11xy
2. -100abc + 200abc = 100abc
Subtraction:
1. 21xyz - (-10xy) = 31xy
2. -100abc - 200abc = -300abc
Multiplication of Terms
To multiply terms multiply their numerical and literal coefficient such that;
A. X"n ∙ X"m = X"(n + m)
B. (X"n)"m = X"nm
C. (XY)"n = X"n Y"n
Examples:
1. 4xy ∙ 5xy3 = 20 x"2 y"4
2. (-6abx)∙(5a"2 b x"2) = -30 a"3 b"2 x"3
1.4.3 Division of Terms
To divide terms divide their numerical coefficients and divide their literal parts such that;
A. (X"n) ∕ (X"m) = X'(n – m) B. (X ∕ Y)"n = X"n / Y"n
Examples:
1. 24x"12 / 6x"4 = 4 x"8
2. (35x"3 y"6 z"7 / 7x y"3 z"2) = 5 x"2 y"3 z"5
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