Question

x^3+0.008 . Factories using identities​

Answer 1

GIVEN

x^3+0.008 . Factories using identities

SOLUTION

Using identity → a³ + b³ = (a +b)(a² - ab + b²)

= x³ + 0.008

= (x)³ + (0.2)³

= (x + 0.2)[ (x)² - x*0.2 + (0.2)²]

= (x + 0.2) [ x² - 0.2x + 0.004]

Identities

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