Answer:
[tex]3125a^5+3125a^4b+1250a^3b^2+250a^2b^3+25ab^4+b^5[/tex]
Step-by-step explanation:
[tex](5a+b)^5[/tex]=
(5a+b)(5a+b)(5a+b)(5a+b)(5a+b)
woah, lets multiply 2 at a time:
(5a+b)(5a+b)=25a^2+10ab+b^2
(5a+b)(25a^2+10ab+b^2)=
125a^3+50a^2b+5ab^2+25a^2b+10ab^2+b^3
simplify:
(125a^3+75a^2b+15ab^2+b^3)(5a+b)=
(625a^4+500a^3b+150a^2b^2+20ab^3+b^4)(5a+b)=
3125a^5+3125a^4b+1250a^3b^2+250a^2b^3+25ab^4+b^5
hope this helps!
