7:07 Simplifying Algebraic Fractions:

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1 7:07 Sy Aea Fat: Mutat a Dv e quz 7:07 Sy te w: a y a 8 y Fate: y + a + ay Jut a uea at a e e y ae at te ueat a te eat, aea at a te e e te ae way ate t at wee e. L at te eae ew. ( ) ( ) ( + ) ( + ) ( ) ( + ) a 6 ( a) ( + a) a + + a ( + ) ( + a) 6 ( a) ( ) ( ) ( + ) we eae Sy e. Aea at u a e ate ee et a utat a v e te ae at te e tee ee. Ce te w eae ( + ) ( + ) ( + ) we eae ( + ) 90 INTERNATIONAL MATHEMATICS

2 ( ) ( + ) ( + ) ( + ) ( + ) ( ) ( + ) ( 7) ( ) ( ) ( ) a 6 a -- a 8 ( a ) ( a + ) ( a + ) ( a + ) a a + 0a + ( a ) ( a + ) ( a ) ( a + ) ( a + ) ( a + ) ( a ) ( a + ) T y aea at, ate t ueat a eat, wee e, a te ae. Eee 7:07 Fate a y: a e a a + 8 a + a a a a a a a q a t u v a w a + a + a + 9 a 8a 8 + y y t + 7t + t 9 8a a + a CHAPTER 7 FACTORISING ALGEBRAIC EXPRESSIONS 9

3 Sy te w: + a y e y y y y a 6+ 8a a ---- a q y + y y y + 8 y a a + a + 6 a a a a a a + a a + a y + y y + y 0 0y + y + t y + y + y y + - y + y + 6 y + y a + 6a + a a a - a + a ( a+ ) a + a a a + a + a a+ + Sy: a + 6 a + a e q a + a + a a 6 a a y+ y y + y y + y t y 6 y y + 6 8y y + 7 y y y y a a 6a a a a - + a ( q+ ) q q q q + q 9 INTERNATIONAL MATHEMATICS

4 7:08 At a Sutat Aea Fat Sy: a a a a a a e quz 7:08 Te Pe Quz ave u ave ee yu tat, we a utat at, te wet eat ee t e u. I te eat vve tw e te, at t ay e te wet eat. F eae: ( ) ( + ) + ( ) ( + ) LCD ta wet eat. Hee te LCD ( )( + )( + ). Nte tat te at ea eat ae eet wtut eeat ay at t t. Ea ueat te ute y ea at t eet t a eat. ( + ) + ( ) ( ) ( + ) ( + ) ( ) ( + ) ( + ) ( ) ( + ) ( + ) We a utat at: ate te eat ea at te wet eat ewte ea at wt t eat a y. CHAPTER 7 FACTORISING ALGEBRAIC EXPRESSIONS 9

5 we eae ( + ) + ( + ) ( + ) ( + ) ( + ) ( + ) N at wa eee tee t tw eae. ( + ) ( + ) ( ) ( + ) ( + ) ( ) ( + ) ( ) ( + ) ( ) ( + ) ( + ) + ( ) ( + ) ( ) ( + ) + ( + ) ( ) ( + ) ( + ) ( + ) ( ) ( + ) ( + ) ( + ) ( ) ( + ) ( + ) ( + ) ( ) ( + ) ( + ) ( + ) ( ) ( + ) ( ) ( ) ( + ) --- ( + ) ( + ) ( ) + 6 ( ) ( + ) ( + ) ( ) ( + ) ( ) Fate t. Eee 7:08 Sy ea te w. (Nte: N at eee.) a a + + a y 7 y e t + 0 t a a a a a + a Fuat Weet 7:08 At a utat aea at Sy: a Sy: 6 a a a INTERNATIONAL MATHEMATICS

6 Sy. (Nte: Te eat ae aeay ate.) a ( + ) ( + ) ( + ) e Sy, y t at ea eat wee e. a e q ( + ) ( + ) ( + ) ( + ) ( + ) + ( ) ( + ) ( + 7) ( ) + ( ) ( + ) ( + ) ( + ) ( + ) ( + ) ( + ) ( + ) + ( ) ( ) t ( ) ( + ) ( + ) ( + ) ( ) ( + ) + ( ) ( + ) ( + 9) ( + ) ( + ) ( ) ( ) ( + ) ( ) ( + ) ( + ) CHAPTER 7 FACTORISING ALGEBRAIC EXPRESSIONS 9