Question

Use the chart to multiply the binomial by the trinomial.

The expression (y + 3)(y squared minus 3 y + 9) is shown above a blank table with 3 columns and 2 rows.
What is the product?

y3 + 27
y3 – 27
y3 – 6y2 + 27
y3 + 6y2 + 27

Answer 1

A. y3 + 27

Explanation:

(y + 3)(y^2 - 3y + 9)

= y(y^2 - 3y + 9) + 3(y^2 - 3y + 9)

= y^3 - 3y^2 + 9y + 3y^2 - 9y + 27

= y^3 + 27