Factorise.

(i)


(ii)


(iii)


(iv)


(v)


(i) x2 + xy + 8x + 8y


 


Taking x as common in first two terms and 8 as common in next two terms


 


x(x + y) +8 (x + y)


= (x + y)(x + 8)




(ii) 15xy-6x+5y-2


 


Taking 3x as common in first two terms and 1 as common in next two terms


 


3x(5y - 2) + 1 (5y - 2)


= (3x + 1)(5y - 2)


 


(iii) ax + bx – ay - by


 


Taking a as common in ax and -ay and b as common in remaining two terms


 


a(x - y) + b (x - y)


= (a + b)(x - y)




(iv) 15pq + 15 + 9q + 25p


 


Taking 3q as common in 15pq and 9q and 5 as common in remaining two terms


 


3q(5p + 3) + 5 (5p + 3)


= (3q + 5)(5p + 3)




(v) z-7 + 7xy -xyz


 


Taking xy as common in 7xy and -xyz and 1 as common in remaining two terms


 


1(z - 7) - xy (z - 7)


= (1 – x y) (z - 7)


 

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