Question

Multiply the following polynomials (a - 6)(a^2 +6a + 36)

Answer 1

I think its a^3 -216

Answer 2

Answer: The required multiplied form is
`a^3-216.`

Step-by-step explanation: We are given to multiply the following polynomials :

`P=(a-6)(a^2+6a+36)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following formula :

`(x-y)(x^2+xy+y^2)=x^3-y^3.`

From (i), we get

`P\\\\=(a-6)(a^2+6a+36)\\\\=(a-6)(a^2-a *6+6^2)\\\\=a^3-6^3\\\\=a^3-216.`

Thus, the required multiplied form is
`a^3-216.`