Factorise 15(2x – 3)3 – 10(2x – 3)

(i) 15(2x – 3)3 – 10(2x – 3)

(ii) a(b – c) (b + c) – d(c – b)

Answer :

(i) 15(2x – 3)3 – 10(2x – 3)

Take out common in both terms,

Then, 5(2x – 3) [3(2x – 3)2 – 2]

(ii) a(b – c) (b + c) – d(c – b)

a(b – c) (b + c) – d(c – b)

Above terms can be written as,

a(b – c) (b + c) + d(b – c)

Take out common in both terms,

(b – c) [a(b + c) + d]

(b – c) (ab + ac + d)

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