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simplifying a symbolic expression

Hi I am really tired of not being able to see that sage says the following expression is zero. Instead it returns the same expression. Please help how to make sure that I get 0 for the calculation. Thank you.

q= var('q',domain='positive'); n= var('n',domain='positive'); k= var('k',domain='positive'); x= var('x',domain='positive'); (((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n).simplify_full()

((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n

simplifying a symbolic expression

Hi I am really tired of not being able to see that sage says the following expression is zero. Instead it returns the same expression. Please help how to make sure that I get 0 for the calculation. Thank you.

q= var('q',domain='positive'); var('q',domain='positive');

n= var('n',domain='positive'); var('n',domain='positive');

k= var('k',domain='positive'); var('k',domain='positive');

x= var('x',domain='positive'); var('x',domain='positive');

(((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n).simplify_full()

((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n

simplifying a symbolic expression

Hi I am really tired of not being able to see that sage says the following expression is zero. Instead it returns the same expression. Please help how to make sure that I get 0 for the calculation. Thank you.

q= var('q',domain='positive');

n= var('n',domain='positive');

k= var('k',domain='positive');

x= var('x',domain='positive');

(((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n).simplify_full()

((q - 1)x + 1)^nq^n - ((q^2 - q)*x + q)^n

 4 None FrédéricC 5011 ●3 ●42 ●109

simplifying a symbolic expression

Hi I am really tired of not being able to see that sage says the following expression is zero. Instead it returns the same expression. Please help how to make sure that I get 0 for the calculation. Thank you.

q= var('q',domain='positive');var('q',domain='positive');
n= var('n',domain='positive');
n= var('n',domain='positive');k= var('k',domain='positive');
x= var('x',domain='positive');
k= var('k',domain='positive'); x= var('x',domain='positive'); (((q - 1)x 1)*x + 1)^nq^n 1)^n*q^n - ((q^2 - q)*x + q)^n).simplify_full()q)^n).simplify_full()
((q - 1)x 1)*x + 1)^nq^n 1)^n*q^n - ((q^2 - q)*x + q)^nq)^n