Test: Algebra III - Challenging

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Question 1:   If x= 2 3 , solve: x1 x+1
1
5
1 1 2
2 9
Question 2:   Solve: a a3 3 =4+3a
a= 9 11
a=1 2 7
a=2 1 7
a= 9 11
Question 3:   Expand: ( 2x 2 1 )( 3x2 2 )
5 x 2 2 11x+2 2 1
5x 2 +2 2
6 x 2 2 11x+2 2
6 x 2 2 5x+ 2
Question 4:   Expand: 2( a 3 )( 3 3 +a )
4a 3 18
a 2 2a 3 +9
2 a 2 +4a 3 18
2 a 2 3a 3 3 3
Question 5:   Expand: 1 3 ( 3x+6 ) 2
6 x 2 +18x+3
9 x 2 +36x+6
2 x 2 +12x+4
3 x 2 +12x+12
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