Cubics
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Cubics
Cubics 3 3 2 2 33 3a b a a b ab b
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2 33 3a b a a b ab b
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x 3 32x
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x 3 32x 22 2 4x x x
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x 3 32x 22 2 4x x x
3 3( ) 27iii y a
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x 3 32x 22 2 4x x x
3 3( ) 27iii y a 33 3y a
Cubics 3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3 3 2 2 33 3a b a a b ab b
3 3 2 2a b a b a ab b
3e.g. ( ) 2 5i a 3 2 2 32 3 2 5 3 2 5 5a a a 3 28 60 150 125a a a
3( ) 8ii x 3 32x 22 2 4x x x
3 3( ) 27iii y a 33 3y a 2 23 3 9y a y ay a
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y 4 3 2 2 3 4x y x x y x y xy y
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y 4 3 2 2 3 4x y x x y x y xy y
7( ) 1v a
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y 4 3 2 2 3 4x y x x y x y xy y
7( ) 1v a 77 1a
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y 4 3 2 2 3 4x y x x y x y xy y
7( ) 1v a 77 1a
6 5 4 3 21 1a a a a a a a
1 2 3 2 2 3 2 1n n n n n n n na b a b a a b a b a b ab b
5 5( ) iv x y 4 3 2 2 3 4x y x x y x y xy y
7( ) 1v a 77 1a
Exercise 1E; 3dh, 4fjk, 5bh, 6bd, 7bc, 8bdik, 9bdf,12*, 13*, 14*, 15*, 16*
6 5 4 3 21 1a a a a a a a
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