You don't need to expand the BINOMIAL to find the coefficients, as Pascal's Triangle tells one that the 6th power yields coefficients: 

1, 6, 15, 20, 15, 6, 1.

You can see that the coefficents REPEAT, in reverse order after the MEDIAN coefficient. That's how ALL coefficents of a BINOMIAL 

EXPANSION behave. Look up Pascal's Triangle.

Never follow what that woman does! She is rarely right, and never wants to deviate from PLAGIARIZING, and learn the correct way

to do mathematics. I wouldn't put it past her to expand the binomial if it were to the 52nd power: (x + 1)52. 

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