3. Factorise the following using appropriate identities.

(iv) 18a? – 50
(v) 2 + 5x + 6
(vi) 3p2 – 24p + 36​

1 thought on “3. Factorise the following using appropriate identities.<br /><br />(iv) 18a? – 50<br />(v) 2 + 5x + 6<br />(vi) 3p2 – 24p + 36​”

1. ★ Correct Question :

   Factorise the following using appropriate identities.

   iv.) 18a² – 50

   v.) x² + 5x + 6

   vi.) 3p² – 24p + 36

   ★ Solution :

   iv.) 18a² – 50

   ➛2 (9a² – 25) [common factors]

   ➛2 (9a² + 15a – 15a – 25)

   ➛2 {3a (3a + 5) – 5 (3a + 5)}

   ➛2 (3a – 5) (3a + 5)

   _______________

   v.) x² + 5x + 6

   ➛x² + 3x + 2x + 6

   ➛x (x + 3) + 2 (x + 3)

   ➛(x + 3) (x + 2)

   _______________

   vi.) 3p² – 24p + 36

   ➛3 (p² -8p + 12)

   ➛3 (p² – 2p – 6p + 12)

   ➛3 {p (p – 2) – 6 (p – 2)}

   ➛3 (p – 6) (p – 2)

   _______________

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