Question

Choose one of the factors of 500x3 + 108y18
(500x to the 3rd + 108y to the 18th)

A. 25x2 + 15xy6 + 9y2
B. 5x + 3y6
C. All of the above
D. 6

Answer 1

A&B

Answer 2

4(5x + 3y6)(25x2 + 15xy6 + 9y2)

Answer 3

500x^3 + 108y^18
=4(125x^3+27y^18)
=4(5^3*x^3+3^3*(y^6)^3)
=4[(5x)^3+(3y^6)^3]
=4(5x+3y^6)(25x^2-18xy^6+9y^12)

answer is B

Answer 4

\[500x{}^{\wedge}3 + 108y{}^{\wedge}18=4 \left(5 x+3 y^6\right) \left(25 x^2-15 x y^6+9 y^{12}\right) \]B.