Question

How do you simplify `5a ^ { 2} b ( 2a ^ { 3} - 4a b + 2b ^ { 3} )`?

Answer 1

See a solution process below"

Explanation:

To simplify this expression multiply each term within the parenthesis by the term outside the parenthesis:

`color(red)(5a^2b)(2a^3 - 4ab + 2b^3) =>`

`(color(red)(5a^2b) xx 2a^3) - (color(red)(5a^2b) xx 4ab) + (color(red)(5a^2b) xx 2b^3) =>`

`10a^5b - 20a^3b^2 + 10a^2b^4`