Question

Multiply and simplify. x-1/x^2+2x+1 multiplied by x^2-1/x+1

1 correct?
(x-1)^2/(x+1)^2
x-1/x+1
x+1/x-1

Answer 1

Why do you believe 1 is correct? Do you mind showing your work?

Answer 2

I crossed multiplied and it cancelled out

Answer 3

You can only cross multiply when you have something like

\(\dfrac{a}{b} = \dfrac{c}{d}\)

Answer 4

Is my answer correct?

Answer 5

You have to factor and cancel to simplify

Answer 6

so my answer is wrong. How to factor and simplify?

Answer 7

Write the trinomial in the form (x + a)(x + b)

Also \(x^2 - 1\) is a difference of squares.

Remember
\(a^2 - b^2 = (a + b)(a - b)\)

Answer 8

I'm not good at this, x2-1 + x-1?