Answer:
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
Answer:
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
