Answer:
[tex]\large\boxed{(a+b)(a^2+ab+b^2)=a^3+2a^2b+2ab^2+b^3}[/tex]
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](a+b)(a^2+ab+b^2)\\\\=(a)(a^2)+(a)(ab)+(a)(b^2)+(b)(a^2)+(b)(ab)+(b)(b^2)\\\\=a^3+a^2b+ab^2+a^2b+ab^2+b^3\qquad\text{combine like terms}\\\\=a^3+(a^2b+a^2b)+(ab^2+ab^2)+b^3\\\\=a^3+2a^2b+2ab^2+b^3[/tex]
