Question

Use the chart to multiply the binomial by the trinomial.

Answer 1

Answer:

Option (1) is correct.

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

Step-by-step 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  $y^3+27$