Question

Expand the expression (x-5)^3

Answer 1

`x^3`-15
`x^(2)`+25x-125

Explanation:

This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.

(x-5)(x-5)(x-5)=

[x(x-5)-5(x-5)](x-5)=

(
`x^(2)`-5x-5x+25)(x-5)=

(
`x^(2)`-10x+25)(x-5)=

x(
`x^(2)`-10x+25)-5(
`x^(2)`-10x+25)

`x^3`-
`10x^2`+25x-
`5x^2`-125=

`x^3`-15
`x^(2)`+25x-125

Answer 2

x^3 - 15x^2 + 75x - 125