Question

which expression represents 36x^2 -100y^6 factored completely

Answer 1

\(\large\color{forestgreen}{ \rm 36x^2 -100y^6 }\)
\(\large\color{forestgreen}{ \rm 6^2x^2 -10^2y^6 }\)
\(\large\color{forestgreen}{ \rm 6^2x^2 -10^2(y^3)^2 }\)
\(\large\color{forestgreen}{ \rm (6x)^2 -(10y^3)^2 }\)

we know that \(\large\color{forestgreen}{ \rm a^2-b^2=(a-b)(a+b), }\) So,

\(\large\color{forestgreen}{ \rm (6x -10y^3)(6x +10y^3) }\) THEN,

\(\large\color{forestgreen}{ \rm 2(3x -5y^3)2(3x +5y^3) }\) so,

\(\large\color{forestgreen}{ \rm 4(3x -5y^3)(3x +5y^3) }\)

Answer 2

I think this would be it.

Answer 3

does it matter if its reverse 4(3x+5y^3)(3x-5y^3)