Factorisation Exercise 4.2



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Exercise 4.1 Exercise 4.3 Exercise 4.5

Q1 Factorise the following (1 to 13):

(i) x 2 + xy x y
(ii) y 2 yz 5y + 5z

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Q2 (i) 5xy + 7y 5y2 7x
(ii) 5p2 8pq 10p + 16q

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Q3 (i) a 2b ab2 + 3a 3b
(ii) x 3 3x2 + x 3

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Q4 (i) 6xy2 3xy 10y + 5
(ii) 3ax 6ay 8by + 4bx


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Q5 (i) 1 a b + ab
(ii) a(a 2b - c) + 2bc

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Q7 (i) ab2 + (a - 1)b 1
(ii) 2a 4b xa + 2bx

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Q8 (i) 5ph 10qk + 2rph 4qrk
(ii) x 2 x(a + 2b) + 2ab

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Q9 (i) ab(x2 + y2 ) xy(a2 + b2 )
(ii) (ax + by)2 + (bx - ay)2

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Q10 (i) a 3 + ab(1 2a) 2b2
(ii) 3x2 y 3xy + 12x 12

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Q11 a 2b + ab2 abc b 2 c + axy + bxy

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Q12 ax2 bx2 + ay2 by2 + az2 bz2

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Q13 x 1 (x - 1)2 + ax a

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