Question

Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer. y3 - 2y2 + 3y + 5, y3 - 4y2 + 2y - 5, y3 - 4y2 + 2y + 5, y3 - 8y2 + 8y + 5.

Answer 1

Step-by-step explanation: y3 - 8y2 + 8y + 5 (Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.)

Answer 2

`y^3 - 8y^2 + 8y+5)`

Explanation:

Take
`2y^2 - 3y - 5` from
`y^3 - 6y^2 + 5y`

Subtract
`2y^2 - 3y - 5` from
`y^3 - 6y^2 + 5y`

`y^3 - 6y^2 + 5y-(2y^2 - 3y - 5)`

Multiply negative sign inside the parenthesis

`y^3 - 6y^2 + 5y- 2y^2 + 3y +5`

Combine like terms

`y^3 - 8y^2 + 8y+5`