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Factorisation

This document contains 50 math problems involving operations like expanding expressions, factoring polynomials, and simplifying algebraic expressions. The problems cover a range of fundamental algebraic skills and concepts including exponents, factoring, distributing, combining like terms, and solving quadratic equations.

Uploaded by

Iam Leong
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
85 views5 pages

Factorisation

This document contains 50 math problems involving operations like expanding expressions, factoring polynomials, and simplifying algebraic expressions. The problems cover a range of fundamental algebraic skills and concepts including exponents, factoring, distributing, combining like terms, and solving quadratic equations.

Uploaded by

Iam Leong
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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am x an = am+n

7)

( -2a2bc3)3
=

( am)n =amn
( ab )m = ambm
1)

( a3)4

8)

2)

( 2x 3 )2

9)

( 4x + 8 )2
=

4)

( x 6y )2
=

5)

- 4ab ( -2ab2)2
=

3)

3a2b3 x 5a3b2

10) a7 ( a5 )
=

11)

3xy ( 2yz + 4xz )


=

( y2 + 5 )2
=

12) - 5yz ( - 2xz + 3xy )


=

6)

( x + 3y )2
=

13) 4xz (- 3yz + xz )


=

14) - 2abc ( ab + bc + ca )
=

15) ( a + b ) ( a - b )
=

16) ( 3x + 2 ) ( 3x 2 )
=

17) ( 3r 2s ) ( r + 3s )
=

18) ( - x 2y ) ( - x + 2y )
=

19) ( - x 2 )2
=

20) 2 ( 3a3 + 4 )2
=

21) -2 ( - a + 3b )2
=

22) ( a 1 )2
=

23) ( a 3 )2
=

24) ( 2a 1 )2
=

x 2 + ( a + b )x + ab = ( x + a ) ( x + b )

25) x2 + 8x + 15

30) ax2- 2ax 8a


=

31) 2x2 + 7x + 5
26) x2 + 10x + 21

32) 6x2 + 29x 5


27) a2 7a + 10

33) 3x2 13x + 4


28) a2 + 3ab 10b2

34) 5x2 + 16x + 3


29) 12x2 + 24x 96

35) 2x2 + xy 6y2


=

36) 4x2 13x 12


=

37) 6x2 xy 12y2


=

38) a2 b2

42) mn ( 4 + 6m mn )
=

43) ( m + 3n )( 2m 7n )
=

44) 8pq + 12 qr

39) x2 9

45) 2x2 18

40) y2 81x2
=

41) x2 36x2
=

46) 8x2 2
=

47) 9x2 12x + 4


=

48) ( x + 2 )( x 3 )
=

49) ( 3x + 2y )( x 3y )
=

50) ( 3x 1 )2 ( 5x + 3 )
=

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