Question

Choose one of the factors of 500x^3 + 108y^18

Answers: 25x^2 + 15xy^6 + 9y^2
All of the above
6
5x + 3y^6

Answer 1

5x + 3y^6

Answer 2

oh and i suggest u to go to this site:

http://www.wolframalpha.com/

Answer 3

supposed to recognize this as "difference of two cubes"
\[a^3-b^2=(a-b)(a^2+ab+b^2)\]

Answer 4

or rather "sum of two cubes"
\[(a^3+b^3=(a+b)(a^2-ab+b^2)\]

Answer 5

first factor out a 4 to get
\[4(125x^3+27y^{18})\] and now
\[a=5x,b=3y^6\] use the formula get
\[4(5x+3y^6)(25x^2-15xy^6+9y^{12})\]

Answer 6

so it looks like answer 1 is possible but it is wrong because of the sign