Question

Factorise a^3-2√2b^3​

Answer 1

Step-by-step explanation:

(a-√2b)^3

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Answer 2

GIVEn

Factorise a³ - 2√2b³

SOLUTIOn

→ a³ - 2√2b³

Apply identity :

a³ - b³ = (a - b)(a² + ab + b²)

→ (a)³ - (√2b)³

→ (a - √2b)[(a)² + a*√2b + (√2b)²]

→ (a - √2b)[a² + √2ab + 2b²]

SOMe IDENTITIEs

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)