Question

Use the chart to multiply the binomial by the trinomial.

Answer 1

Option (1) is correct.

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

Explanation:

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

We have to find the product of above,

We have to multiply each term as ,

`(y+3)(y^2-3y+9)` can be written as,

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

When we multiply each term we get,

`\Rightarrow (y^3-3y^2+9y)+(3y^2-9y+27)`

These terms are same as we have filled in table below.

On adding like terms we get,

`\Rightarrow y^3-3y^2+9y+3y^2-9y+27`

`\Rightarrow y^3+27`

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