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

Answer:

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

Step-by-step 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

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