Adding Rational Expressions | MathHelp.com - Free Educational videos for Students in K-12

Adding Rational Expressions | MathHelp.com - By MathHelp.com

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00:0-1	to find the common denominator for these two expressions ,
00:04	we must first factor each of the denominators , So
00:09	we have five over A -3 times a plus two
00:18	plus six Over a -9 times a -3 . Notice
00:30	that these two denominators share a factor of a -3
00:36	. So their common denominator would include the A -3
00:40	. That they share times a plus two times a
00:44	-9 . Since our first denominator is missing the A
00:50	-9 . We multiply top and bottom of the first
00:54	fraction by a -9 oh oh Since the second denominator
01:02	is missing an a plus two . We multiply top
01:06	and bottom of the second fraction by a plus two
01:13	. And remember to distribute in the numerator . So
01:17	we have five A -45 over a minus nine times
01:26	a minus three times a plus two plus six a
01:34	plus 12 Over a -9 times a -3 times a
01:42	plus two . Next add across enumerators , but leave
01:48	the denominator the same to get 11 a minus 33
01:56	Over a -9 times a -3 times a plus two
02:07	. As your last step . See if you can
02:09	factor the numerator , so that may be one of
02:12	our Bino meals will cancel out In this case ,
02:16	notice that the numerator has the greatest common factor of
02:19	11 , So we can factor in 11 out to
02:24	get 11 times spread , sees a -3 Over a
02:30	-9 times a -3 times a plus two . Mhm
02:37	. So you can see that our a minus threes
02:40	cancel and we have 11 Over a -9 times a
02:47	plus two . Mhm .

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