0= (x-1)^2 -4 and and show explanation please

x=-1, x=3

Step-by-step explanation:

to solve by factoring:

1. swap the sides:  

0=(x-1)^2-4

2. expand the expression:  

(x-1)^2-4=0

3. rewrite and calculate:

x^2-2x+1-4=0

4. factor

x^2+x-3x-3=0

5. Factor... again

x(x+1)-3(x+1)=0

6. separate

(x+1) (x-3)=0

7. solve

x+1=0, x-3=0

8. and you end up with 2 solutions

x=-1, x=3

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)