( x² - 2x + 1 )( x - 1 )

x³ - 3x² + 3x - 1

Step-by-step explanation:

(x² - 2x + 1)(x - 1)

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

x²(x - 1) - 2x(x - 1) + 1 (x - 1) ← distribute parenthesis

= x³ - x² - 2x² + 2x + x - 1 ← collect like terms

= x³ - 3x² + 3x - 1

x³ + x² - x - 1

Step-by-step explanation:

(x²-2x+1)(x-1)

multiply the first number of each bracket so do x² times x which equals x³

next do x² multiplied by the next number in the second brackets which is -1 so it equals -x² (negative x²)

do 2x times x to get 2x²

do 2x times -1 to get -2x

do 1 times x to get x

do 1 times -1 to get -1

now you put these all together to get x³-x²+2x²-2x+x-1

you then have to simplify this to get x³+(2x²-x²=x²)+(-2x+x=-x)-1

the final answer is x³+x²-x-1

you will know you have your final answer when it cannot be simplified further

step-by-step explanation: