Problem 4.

Those who dont understand some of the math heres a simple breakdown of a problem: this is how i did my homework (except for the process part)

Note: ^3 = to the third power.,you might not understand by computer but write it down and it will turn out correct.

(x-ab)^3

Ok first you need to set up the basic equacion that is going to be used for these types of problems which is:





(_)^3+3(_)^2(_)+3(_)(__)^2+(__)^3
First blank contains first term of the equation which is x.
second blank contains the first term of the equation which is x.
Third blank contains the second term of the equation which is -ab.
Fourth blank contains the first term of the equation which is x.
fifth term contains the second term of the equation which is -ab.
and finally the sixth blank contains the second term of the equation which is -ab.


After that all you need to do is fill the empy blanks

so from the equacion its (x-ab)^3

 If its confusing Look at it like this way: (in 4 seperate parts)
(x)^3  +  3(x)^2(-ab)   +   3(x)(ab)^2    +   (-ab)^3

now solve it

processo:

x^3 = first part. x to the third power
3(x)^2 (-ab) = 3 ab x^2 = second part  3ab x to the second power
3(x)(ab^2 = 3x a^2 b^2 =  third part 3x a to the second power b to the second power.
(-ab)^3 = -a^3 b^3 = Fourth part. -A to the third power b to the third power.

result:
x^3   +  3abx^2    +   3 a^2 b^2x - a^3 b^3