Will mark !
spencer is asked to factor the polynomial 256x^4 y^2-y^2completely over the integers. his work is shown below.
256x^(4)y^(2)=y^(2)(256x^(4)-1)y^(2)(256x^(4)-1)=y^2(16x^(2)+1)< br />did spencer factor the polynomial completely over the integers? why or why not?
a. spencer did factor the polynomial completely; he identified teh gcf and applied the difference of cubes method.
b. spencer did not factor the polynomial completely; 16x^(2)+1 can eb factored over the integers.
c. spencer did not factor the polynomial completely; 16x^(2)-1 can be factored over the integers.
d. spencer did factor the polynomial completely; he identified teh gcf and applied the difference of squares method.

False because C)

Step-by-step explanation:

Our original function is

The first step we go is to take as GCF and take it out of bracket

also and and

Hence we can write the above equation as

Now we apply the differences of the square in this which says

Again applying the differences of the square in the first factor we get

Hence

Hence

Spencer did not factor the polynomial completely over the integers because Spencer did not factor the polynomial completely; 16x^(2)-1 can be factored over the integers.

d. you cannot tell because there are no values shown.

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

step-by-step explanation:

this is my explanation