Test: Algebraic Fractions - Challenging

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Question 1:   Simplify: x3 y+1 y+1 x5
x x2
x5 x3
1
x3 x5
Question 2:   Simplify: x 4 16 x 2 +4
x 2 4
x 2 +4
x 2 12
x2
Question 3:   Simplify: x 2 7x+12 ( x3 )( x+1 )
x3 x+1
x3
x+1 x4
x4 x+1
Question 4:   Simplify: 8 ( x ) 12 x 9
8 x 3
8 x 3
8 x 3
8 x 3
Question 5:   Simplify: x 3 x 1x
x 2 1
x 2 x
x 2 1 x
x( x+1 )
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