Question

Question #5e54d

Answer 1

`=a^6b +2a^5b+a^5b^2+3a^4b^2+a^3b^3`

Explanation:

`(color(red)(a*a)(a+b)*color(red)(ab)(a^2+b+color(blue)(a+a))`

`=color(red)(a^3b)(a+b)(a^2+b+color(blue)(2a))`

`=a^3b(color(magenta)(a)color(forestgreen)(+b))(a^2+2a+b)" "larr` multiply the two brackets

`=a^3b(color(magenta)(a^3+2a^2+ab)+color(forestgreen)(a^2b+2ab+b^2))`

`=a^3b(a^3+2a^2+a^2b+3ab+b^2)" "larr` distribute the `a^3b`

`=a^6b +2a^5b+a^5b^2+3a^4b^2+a^3b^3`