Test: Factorisation I - Challenging

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Question 1:   Factorise: 14x+42y
7( 2x+6 )
56( x+y )
56xy
14( x+3y )
Question 2:   Factorise: 1.14a+5.7 a 2
6.14( a+1 )
a( 1.12+5.7a )
1.14a( 5a+1 )
6.84a( a+1 )
Question 3:   Factorise: 54p3q
51pq
18( 3pq )
3( 16pq )
3( 18pq )
Question 4:   Factorise: 13 a 2 b14ab+12a
a( 13ab14b+1 )
a( 13ab14b+12 )
11 a 2
12a( ab2b+1 )
Question 5:   Factorise: 3 x 3 y 2 +27 x 2 y 2 18x y 3
12 x 4 y
xy( x 2 y+27xy18y 2 )
3x y 2 ( x 2 +9x6y )
6x y 2 ( x 2 +2x3y )
Question 6:   Factorise: 2 a 3 b4 b 3 a+8 a 2 b 2
2ab( a 2 2 b 2 +4ab )
6 a 4
ab( 2a4 b 2 +8ab )
2 a 2 b( a2 b 2 +4b )
Question 7:   Factorise: 2x+px+2y+py
Cannot be factored
2 x 2 p+2 y 2 p
( 2+p )( x+y )
x( 2+p )+y( 2+p )
Question 8:   Factorise: 2pxqx2py+qy
( 2pq )( xy )
x( 2pq )y( 2p+q )
2( pq )2( p+q )
2( pxqx )2( py+qy )
Question 9:   Factorise: 2ax+bx2ayby
2( a+b )( xy )
2( a+b )2( x+y )
( 2a+b )( xy )
x( 2a+b2ayby )
Question 10:   Factorise: x 2 +x6
( x+1 )( x6 )
( x3 )( x2 )
( x3 )( x+2 )
( x+3 )( x2 )