SOLUTION: x^2 +2 =2x the value of x^4 -x^3 +x^2 +2 explain clearly a)0 b)1 c)-1

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Question 1038910: x^2 +2 =2x
the value of x^4 -x^3 +x^2 +2
explain clearly
a)0
b)1
c)-1

Answer by ikleyn(52910) About Me  (Show Source):
You can put this solution on YOUR website!
.
x^2 +2 =2x
the value of x^4 -x^3 +x^2 +2
explain clearly
a)0
b)1
c)-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

  x%5E4+-x%5E3+%2Bx%5E2+%2B2 =                  (make grouping)  --->

= %28x%5E4+-x%5E3%29 + %28x%5E2+%2B2%29              (replace x%5E2+%2B2 by 2x, according to the condition)  --->

= %28x%5E4+-x%5E3%29+%2B+2x                     (distract and add x%5E3)  --->

= %28x%5E4+-2x%5E3%29 + %28x%5E3%2B2x%29 = 

= %28x%5E4+-2x%5E3%29 + x%28x%5E2%2B2%29 =          (replace x%5E2+%2B2 by 2x, according to the condition)  --->

= %28x%5E4+-2x%5E3%29+%2B+x%2A2x = 

= %28x%5E4+-2x%5E3%29+%2B+2x%5E2 =                (make re-grouping)  --->

= %28x%5E4+%2B2x%5E2%29+-+2x%5E3 =

= x%5E2%28x%5E2+%2B2%29+-+2x%5E3 =               (replace x%5E2+%2B2 by 2x, according to the condition)  --->

= x%5E2%2A2x+-+2x%5E3 = 2x%5E3+-+2x%5E3 = 0.

Answer.  0  (zero).

Solved.