1 A 1 B 1 C 1 D 1 E 1 F 2 3 A 3 B 3 C 3 D 3 E 3 F 3 G 4 A 4 B 4 C 4 D 4 E 5 A 5 B 5 C 5 D 6

Q. 24.5( 6 Votes )

Factorise the fol

Class 8th Karnataka Board - Mathematics Part I 4. Factorisation

Answer :

(i) ⇒ x² + 6x + 9

⇒ x² + 2 × 3× x + 3²

⇒ (x + 3)²

(ii) ⇒ 1 – 8x + 16x²

⇒ 1² – 2 × 1 × 4x + (4x)²

⇒ (1 – 4x)²

(iii) ⇒ 4x² – 81y²

⇒ (2x)² – (9y)²

⇒ (2x + 9y)(2x – 9y)

(iv) ⇒ 4a² + 4ab + b²

⇒ (2a)² + 2 × 2a × b + b²

⇒ (2a + b)²

(v) ⇒ a²b² + c²d² – a²c² – b²d²

⇒ (a²b² – a²c²) – (c²d² – b²d²)

⇒ a²(b² – c²) – d²(b² – c²)

⇒ (b² – c²) (a² – d²)

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