Question

What is the product of (y+3)(y^2-3y+9)?

Answer 1

y^3 +27

Explanation:

Times each term in the second bracket by y, then by 3 and add them together.

y × y^2 = y^3

y × -3y = -3y^2

y × 9 = 9y

3 × y^2 = 3y^2

3 × -3y = -9y

3 × 9 = 27

So, y^3 -3y^2 +9y +3y^2 -9y +27

Next, collect like terms and simplify:

y^3 +27