Maths algebra

posted by .

Factorise the following:
x^4 - x^3 - x^2 + x

The answer is x(x+1)(x-1)^2
but I cannot understand how to get this answer. Can someone please show me the working? Thanks!

  • Maths algebra -

    factor out x
    x(x^3-x^2 -x + 1)
    Now, on the cubic part, notice the 1 a the end. That means the factors have to multiply to one.
    x( x(x^2-1) -(x^2-1))
    x(x-1)(x^2-1) and you can factor the x^2-1 into two factors..

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Can someone check my algebra answers and help me with the problems I don't understand?
  2. 8th Grade Algebra: Answer Check

    Find the length of the 3rd side of each right triangle. 1. 8^2+15^2=c^2 Answer: c=17 2. 5^2+b^2=13^2 Answer: b=12 3. 9^2+13^2=c^2 Answer: c~15.81 Simplify. Assume that all variables are nonnegative. { this means square root 4. {12 …
  3. 8th Grade Algebra: Answer Check #2

    Add or Subtract (Radicals) { this means squared 1.3{2 + 4{2 Answer: 7{2 2. 8{3 + 3{3 Answer: 11{3 3. 7{5 - 3{5 Answer: 4{5 4. 8{2 - 5{2 Answer: 3{2 5. 6{x + 7{x Answer: 13{x 6. 9{y + 3{y Answer: 12{y Multiply 7. -3x^2(4x^2-3x-5) Answer: …
  4. algebra

    Solve the following equation: k2 + 4k = 0 By factoring and By using the quadratic formula Can someone please help me to understand how to this problem...I do not understand the steps to get the correct answer. Thanks!!!
  5. Maths

    Can someone factorise 25x^2-25xy+6y^2 show your work please
  6. maths

    I don't understand what to do at all, I've several like this if someone could explain this one i could maybe undersatnd what to do with the rest. Thanks!! "Factorise, then solve the equation x^2=5x-36=0 then explain how you could use …
  7. Algebra

    1. 12 + 8a + 4a^2 2. Factorise -5x^2 + 27x - 10 Please show me full working out. Thank you!
  8. maths, algebra

    State the degree of each of the following: a)3 b)x^0 My answer for a) was: 1 My answer for b) was: 1 BUT at the back of the book, the answer for a) was 0. The answer for b) was also 0. I just don't understand why I'm wrong.
  9. Maths

    Factorise as far as possible: 1) 2a^2b + 8a^2b^2 The answer i got for this is 2ab(a+4ab). I'm not entirely sure if this is fully factorised or not. Can you please correct me if i am wrong. 2) x^2 + 5x - 6 I'm not sure how i can do …
  10. Maths

    Show that (x + 1)(x – 3)(x – 4) = x3 – 6x2 + 5x + 12 I'm so sorry but I can't show any working for this as I don't have a clue how to factorise when there are no common letters and numbers?

More Similar Questions