expand brackets

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Expanding Brackets 1. Expand ) 3 2 ( y y 2. Expand and simplify (a) ) 2 ( x x (b) ) 4 3 ( 2 y (c) ) 1 2 ( 3 ) 3 ( 2 x x (d) ) 1 5 ( 2 ) 4 ( 3 x x (e) ) 5 ( 2 ) 1 2 ( x x x x (f) ) 4 )( 1 2 ( x x (g) ) 5 )( 3 ( x x (h) ) 1 ( 2 x x x (i) ) 3 2 ( ) 1 2 ( 5 x x (j) ) 4 )( 3 ( x x (k) ) 2 ( 2 x x x (l) ) 3 ( ) 2 ( 4 x x (m) 2 ) 4 3 ( x (n) 2 2 ) 2 ( ) 1 ( x x (o) 2 ) 2 ( ) 2 )( 3 4 ( x x x (p) ) 1 2 )( 2 ( 2 x x x (q) ) 5 )( 4 ( x x x (r) ) 3 )( 2 )( 1 ( x x x (s) ) 2 5 ( 2 ) 3 5 ( 6 u t u t (t) 2 3 2 9 8 ) 5 4 ( 2 x yx xy x 3. Multiply out ) 4 ( 2 x x 4. Expand ) 5 2 ( 3 y (2012 June NC) 5. (a) Expand ) 5 3 ( 4 x (b) Expand and simplify ) 5 ( 3 ) 4 ( 2 x x (c) Expand and simplify ) 6 )( 4 ( x x 5 marks (2012 Nov) 6. Expand and simplify ) 4 )( 9 ( p p 2 mark (2012 June/C) 7. (a) Expand ) 2 ( x x (b) Expand and simplify ) 4 )( 3 ( x x 4 marks (2011 J/NC) 8. Expand and simplify ) 1 4 )( 5 3 ( x x 2 marks (2011 June/C) 9. (a) Expand ) 2 ( 3 t (b) Expand ) 5 2 ( 3 x x (c) Expand and simplify ) 10 )( 3 ( m m 5 marks (2013 J/NC)

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GCSE Algebra

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Page 1: Expand Brackets

Expanding Brackets

1. Expand )32( yy

2. Expand and simplify

(a) )2( xx

(b) )43(2 y

(c) )12(3)3(2 xx

(d) )15(2)4(3 xx

(e) )5(2)12( xxxx

(f) )4)(12( xx

(g) )5)(3( xx

(h) )1(2 xxx

(i) )32()12(5 xx

(j) )4)(3( xx

(k) )2(2 xxx

(l) )3()2(4 xx

(m) 2)43( x

(n) 22 )2()1( xx

(o) 2)2()2)(34( xxx

(p) )12)(2( 2 xxx

(q) )5)(4( xxx

(r) )3)(2)(1( xxx

(s) )25(2)35(6 utut

(t) 232 98)54(2 xyxxyx

3. Multiply out )4(2 xx

4. Expand )52(3 y

(2012 June NC)

5. (a) Expand )53(4 x

(b) Expand and simplify )5(3)4(2 xx

(c) Expand and simplify )6)(4( xx

5 marks (2012 Nov)

6. Expand and simplify )4)(9( pp

2 mark (2012 June/C)

7. (a) Expand )2( xx

(b) Expand and simplify )4)(3( xx

4 marks (2011 J/NC)

8. Expand and simplify )14)(53( xx

2 marks (2011 June/C)

9. (a) Expand )2(3 t

(b) Expand )52(3 xx

(c) Expand and simplify )10)(3( mm

5 marks (2013 J/NC)