The solution is [tex]6x^5+60x^4+150x^3[/tex]
Explanation:
The given expression is [tex]6x(x^{2} +5x)^2[/tex]
We need to determine the solution of the given expression.
The solution of the expression can be determined by expanding the expression.
Let us use the identity [tex](a+b)^2=a^2+2ab+b^2[/tex] to expand the term [tex](x^{2} +5x)^2[/tex]
Thus, we have,
[tex]6x((x^{2} )^2+2(x^{2} )(5x)+(5x)^{2} )[/tex]
Simplifying the expression, we have,
[tex]6x(x^{4}+10x^3+25x^{2} )[/tex]
Multiplying the term within the bracket, we get,
[tex]6x^5+60x^4+150x^3[/tex]
Thus, the solution of the expression is [tex]6x^5+60x^4+150x^3[/tex]
