Question

Multiply first expression by the second a²+2ab+b²,a+b

Answer 1

Answer:

(a² + 2ab + b²) x (a + b) = a³ + 3a²b + 3ab² + b³ = (a + b)³

Step-by-step explanation:

(a² + 2ab + b²) x (a + b)

= [(a² + 2ab + b²) x a] + [(a² + 2ab + b²) x b]

= [(a² x a) + (2ab x a) + (b² x a)] + [(a² x b) + (2ab x b) + (b² x b)]

= [a³ + 2a²b + ab²] + [a²b + 2ab² + b³]

= a³ + 2a²b + a²b + ab² + 2ab² + b³

= a³ + 3a²b + 3ab² + b³

= (a + b)³