Question

How do you rewrite `-6y ^ { 6} ( 2y ^ { 2} + 5y - 8)` without parentheses?

Answer 1

See a solution process below:

Explanation:

To write this expression without parenthesis you need to multiply each term within the parenthesis by the term outside of the parenthesis. Be careful to manage the signs of the individual terms correctly:

`color(red)(-6y^6)(2y^2 + 5y - 8) =>`

`(color(red)(-6y^6) * 2y^2) + (color(red)(-6y^6) * 5y) + (color(red)(-6y^6) * -8) =>`

`-12y^8 + (-30y^7) + 48y^6 =>`

`-12y^8 - 30y^7 + 48y^6`