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

Use the sum-of-cubes pattern: (a + b)(a^2 − ab + b^2) = a^3 + b^3.
Here a = y, b = 3, so (y + 3)(y^2 − 3y + 9) = y^3 + 27.