Factorise 2a2b2 – 7ab – 30

(i) 2a2b2 – 7ab – 30

(ii) a(2a – b) – b2

Answer :

(i) 2a2b2 – 7ab – 30

2a2b2 – 12ab + 5ab – 30

Take out common in all terms we get,

2ab(ab – 6) + 5 (ab – 6)

(ab – 6) (2ab + 5)

(ii) a(2a – b) – b2

a(2a – b) – b2

Above terms can be written as,

2a2 – ab – b2

2a2 – 2ab + ab – b2

Take out common in all terms we get,

2a(a – b) + b(a – b)

(a – b) (2a + b)

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