Question

Find the product. −8y2(2y2 + 7y − 5)

Answer 1

To find the product -8y²(2y² + 7y - 5), multiply -8y² by each term inside the parentheses and combine like terms.

Step-by-step explanation:

To find the product -8y²(2y² + 7y - 5), we can use the distributive property. Multiply -8y² by each term inside the parentheses:

-8y² × 2y² = -16y⁴

-8y² × 7y = -56y³

-8y² × -5 = 40y^2

Now combine the terms and simplify:

-16y⁴ - 56y³ + 40y²

Answer 2

`- 8 {y}^(2) (2 {y}^(2) + 7y - 5) \\= (- 8 {y}^(2))(2 {y}^(2)) +( 7y)( - 8 {y}^(2)) -( 5)( - 8 {y}^(2)) \\ = - 16 {y}^(4) - 56 {y}^(3) + 40 {y}^(2)`