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Fatorization

Fatorization - 4 20 10 2 25 50 6 3 2 2 2 2 2-Ã-Ã—-9...

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F.2 Mathematics Exercise Fatorization 1. Simplify the following algebraic fractions. (a) x x ax 6 9 3 2 - (b) 3 2 9 8 3 4 y x xy y x ÷ 2. Find the L.C.M. and the H.C.F. of 21 x 2 and 14 x . 3. Simplify x x x - + - 3 6 3 2 . 4. Factorize the following polynomials. (a) (2 x - 3) y + xy (b) (6 x - 5)( x - y ) - x ( x - y ) (c) (2 x + 3)( x - y ) + (1 - x )( y - x ) 5. Factorize the following polynomials. (a) ab + bc - ad - cd (b) x 3 - x 2 + 3 x - 3 (c) mx + my - mz + nx + ny - nz 6. Factorize (a) xy ( x + 3 y ) + x (1 - y ) - x , (b) 2 a 3 b 2 (2 a - 3) - 2 a 2 b 2 ( ab - 3 a - 4 b 2 ). 7. Factorize (a) 8 zx + 12 yz - 16 xyz - 24 zy 2 , (b) 3 m 2 - m 2 n + mn 2 - 3 mn + 2 m - 2 n . 8. Simplify the following algebraic fractions (a) y x xy x y x xy x 6 6 2 2 3 3 2 2 + + + -
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Unformatted text preview: 4 20 10 2 25 50 6 3 2 2 2 2 2-Ã·-Ã—--9. Simplify a b b ab a a b a b a b-+ + + +-2 2 2 ) ( ) ( 2 . 10. Factorize (a) 8 x 5 + 12 x 3-16 x 2 , (b) 2 a 2 b-4 ab + 8 b . 11. Factorize (a) xy-4 x-3 y + 12, (b) p 3-2 p 2 + pq-2 q . 12. Simplify the following algebraic fractions. (a) 2 2 2 2 4 29 + ( + x x x (b) 2 3 2 2 a b a-Ã· ab a b 9-13. Simplify x x x x 4 2 1 1 2 1 2-+--+ ....
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