Find the product using suitable identities. a) ((x)/(3) - 6)^(2) step by step

Question

Find the product using suitable identities.

a)
`((x)/(3) - 6)^(2)` step by step

Answer 1

`(x^2)/(9)` - 4x + 36

Explanation:

(
`(x)/(3)` - 6)² = (
`(x)/(3)` - 6)(
`(x)/(3)` - 6)

Each term in the second factor is multiplied by each term in the firs t factor, that is

`(x)/(3)`(
`(x)/(3)` - 6) - 6(
`(x)/(3)` - 6)

Distribute both parenthesis

=
`(x^2)/(9)` - 2x - 2x + 36 ← collect like terms

=
`(x^2)/(9)` - 4x + 36