Question

Please answer this maths questions fast.

Factorise:-
a^3-0.064

Answer 1

Given

Factories it

a³ - 0.064

Solution

→ a³ - 0.064

★ Applying identity :

a³ - b³ = (a - b)(a² + ab + b²)

→ (a)³ - (0.4)³

→ (a - 0.4)[(a)² - a×0.4 - (0.4)²]

→ (a - 0.4)[a² - 0.4a - 0.16]

Some identities

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a² - b² = (a + b)(a - b)
• a³ + b³ = (a + b)(a² - ab + b²)
• (a + b)³ = a³ + b³ + 3ab(a + b)
• (a - b)³ = a³ - b³ - 3ab(a - b)