Question

simplify (x^2-x+1)^2-(x^2+x+1)^2​

Answer 1

Answer:

Step-by-step explanation:

(x^2 - x + 1 ) ^2 - ( x^2 + x + 1 ) ^2

=> (x^2 - x + 1 - (x^2 + x + 1)) (x^2 - x + 1 + x^2 + x + 1 )

==> (-2x) ( 2x^2 + 2 )

==> -4 ( x^3 + x )

Hope this helps you

plz mark this as the brainkliest

Answer 2

= (x^2-x+1)^2 - ( x^2+x+1)^2

=> a^2 -b^2 = (a+b) (a-b)

= (x^2 -x+1 +x^2 +x+1 ) ( x^2 -x+1 - x^2 -x-1)

= (2x^2 +2) ( -2x)

= -4x^3 -4x

= -4x(x^2-1)

= -4x (x+1) ( x-1)