7.2 - 7.2 Multiplying and Dividing Rational Expressfiins m...

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Unformatted text preview: 7.2 Multiplying and Dividing Rational Expressfiins m n “3- *7 , La ) : CL Multiplying Rational Expressions Multiplying rational expressions when P, Q, R, and S are polynomials WithQiOEllldSiO P R _ PR Q S Q5 Note that after multiplying such expressions, our result may not be in simplified form, so we use the following techniques. Multiplying Rational Expressions 1) Completely factor numerators and denominators. 2) Multiply numerators and multiply denominators. 3) Simplify or write the product in lowest terms by dividing out common factors. % ~ ' X :9 Multi 1 the followin rational ex ressions. X3 5x2.5x_ X0 JigfljZ—z— X 2’ Multiply the following rational expressions. (m—n)2 m __ (ham) . m+n mZ—mnh (V) .. 3:33” a Dividing Rational Expressions Dividing rational expressions when P, Q, R, and S are polynomials with Q¢0,S¢0andR;é0 P_R_§ s_Ps §T§_QE_Q—R When dividing rational expressions, first change the division into a multiplication problem, where you use the reciprocal of the divisor as the second factor. Then treat it as a multiplication problem (factor, multiply, simplify). Divide the following rational expressions. (x+3)2 . 5x+15 5 25 a .— X‘B) . 6x 445" m . “)5” 74% 1745.7 1%» m . x”—2:eri§ #24) aux ° Xa—QX-Hl; X+a x%.q{gdzflfi' 4*)! Xz—S‘x + ( ("J PM)“ 3-)! L—wv—man mm. W. _, flaw ' Fa¢+by it“? ,5X'lom . w+tf foHsX-Hr ll 3X23} X x Bflm—xfl In 13 61%) x ) (W6 BMHHM LM) xbw ' W)Cy?z)m XQ—IL .5:— LX—I—q)(X-Q) X ...
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This note was uploaded on 01/16/2012 for the course MATH 096 taught by Professor Jimcotter during the Fall '11 term at Truckee Meadows Community College.

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7.2 - 7.2 Multiplying and Dividing Rational Expressfiins m...

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