Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.

(x - 5)^5

Question

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.

(x - 5)^5

primeralph · Answer

Do you know how to use the factorial?

anonymous · Answer

find the fifth level of pascal's triangle for our coefficients
do you know what it is?

anonymous · Answer

I've got the fifth level in front of me

anonymous · Answer

Now what?

anonymous · Answer

Do I just expand it? and then simplify?

anonymous · Answer

ok fifth level is 1 5 10 10 5 1 if i recall right?

anonymous · Answer

Yes

anonymous · Answer

so you are going to start with 
$$x^5$$ next term will be $5x^4(-5)^1$ or $-25x^4$

anonymous · Answer

next term will be $10x^3(-5)^2$ or $250x^3$

anonymous · Answer

powers on $x$ decrease each time by 1, and power of -5 increases by 1

anonymous · Answer

next term will be $10x^2(-5)^3$ or $-1250x^2$

anonymous · Answer

second to last is $5x(-5)^4=3125x$

anonymous · Answer

and the final one is $(-5)^5=-3125$

anonymous · Answer

put it all together and get $x^5-25 x^4+250 x^3-1250 x^2+3125 x-3125$

anonymous · Answer

anonymous · Answer

alright, so i put all of  that as my answer?

anonymous · Answer

a HUGE pain

anonymous · Answer

@satellite73

anonymous · Answer

yes, it is all the answer all that mess

anonymous · Answer

$$(x-5)^5=x^5-25 x^4+250 x^3-1250 x^2+3125 x-3125$$

anonymous · Answer

Thank you!