Question

Factorise 8a^3-b^3-12a^2b+6ab^2​

Answer 1

Answer:

(2a - b)³

Step-by-step explanation:

8a³ - b³ - 12a²b + 6ab²

$\implies$ (2a)³ - (b)³ - 3* (2a)² * b + 3 *2a * b²

$\implies$ (2a)³ - (b)³ - 3 * 2a * b (2a - b)

$\implies$ (2a - b)³

Hence, the answer is (2a - b)³.

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$\large{\underline{\underline{\mathfrak{\heartsuit \: Algebraic \: Identity: \:\heartsuit}}}}$

• (x + y)³ = x³ + y³ + 3xy(x + y)
• (x - y)³ = x³ - y³ - 3xy(x - y)
• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²

Answer 2

Answer:

(2a-b)^3

Step-by-step explanation:

8a³ - b³ - 12a²b + 6ab²

(2a)³ - (b)³ - 3(2a)²b + 3x2ab²

(2a - b)³ (2a)³ - (b)³ - 3 * 2a * b

2a-b