Question

9. Simplify: (a + b square) (a square - b)​

Answer 1

Answer:

(a+b^2)(a^2-b)

=a(a^2-b) + b^2 (a^2-b)

=a^3-ab+a^2b^2-b^3

Answer 2

(a + b²)(a² - b)

= a(a² - b) + b²(a² - b)

= a³ - ab + a²b² - b³

More identities:-

• (a ± b)² = a² ± 2ab + b²
• (x + a)(x + b) = x² + (a + b)x + ab
• (a + b)(a - b) = a² - b²
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
• (a ± b)³ = a³ ± b³ ± 3ab(a ± b)
• a³ - b³ = (a - b)(a² + ab + b²)
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)