B2notes - Supplementary Course Module B Algebraic...

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Unformatted text preview: Supplementary Course Module B: Algebraic Expressions Assignment 2 & Arithmetic of Algebraic Expressions Adding / Subtracting Algebraic Expressions: & Only like terms may be added or subtracted, by performing the corresponding operation on the coefficients. examples: 3 x + 7 y ¡ 6 x + 4 y = 3 x ¡ 6 x + 7 y + 4 y = ¡ 3 x + 11 y 8 ab + 9 bc ¡ 2 ba = 6 ab + 9 bc & 3 x 2 + 5 x ¡ 10 ¡ ¡ & 2 x 2 ¡ 3 x + 2 ¡ = 3 x 2 ¡ 2 x 2 + 5 x + 3 x ¡ 10 ¡ 2 = x 2 + 8 x ¡ 12 Multiplying / Dividing / Powers & Monomials: & To mulitply or divide two monomial, or to apply a power to a monomial, we make use of the laws of exponents. examples: & ¡ 6 x 2 y ¡& 5 x & 8 y 2 ¡ = ( ¡ 6)(5) x 2+( & 8) y 1+2 = ¡ 30 x & 6 y 3 = ¡ 30 y 3 x 6 ¡ 27 a 6 b 3 9 a 2 b = ¢ ¡ 27 9 £ a 6 & 2 b 3 & 1 = ¡ 3 a 4 b 2 & 8 x 1 = 2 y & 3 ¡ 2 = 3 = (8) 2 = 3 x (1 = 2)(2 = 3) y ( & 3)(2 = 3) = 4 x 1 = 3 y & 2 = 4 x 1 = 3 y 2 Multiplying Polynomials & We have already seen examples of multiplying and dividing two monomials. Often, one (or more) of the factors to be multiplied will be the sum of two (or more) terms. In this case, we use the &Distributive Law¡ to performto be multiplied will be the sum of two (or more) terms....
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B2notes - Supplementary Course Module B Algebraic...

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