Question

Use the chart to multiply the binomial by the trinomial.

What is the product?

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

Answer 1

y^3+27 is the answer

hope that helps!

Answer 2

The product of
`(y+3)(y^(2)-3y+9)` is
`y^(3)+27`

Explanation:

we need to find the product of binomial by the trinomial of the expression:

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

Multiply term wise,

⇒
`y* y^(2)-y* 3y+y* 9+ 3* y^(2) -3* 3y +3* 9`

⇒
`y^(3)- 3y^(2)+9y+ 3y^(2) -9y +27`

combine the line terms together,

⇒
`y^(3)- 3y^(2)+ 3y^(2) +9y-9y +27`

⇒
`y^(3)+27`

Hence, the product of
`(y+3)(y^(2)-3y+9)` is
`y^(3)+27`