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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
X‘B) . 6x 445" m . “)5” 74% 1745.7 1%» m . x”—2:eri§ #24) aux ° Xa—QX-Hl;
4*)! Xz—S‘x + ( ("J
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)
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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.
- Fall '11