Question

6x(x^2+5x)^2 I need this plz

Answer 1

The solution is $6x^5+60x^4+150x^3$

Explanation:

The given expression is $6x(x^{2} +5x)^2$

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 $(a+b)^2=a^2+2ab+b^2$ to expand the term $(x^{2} +5x)^2$

Thus, we have,

$6x((x^{2} )^2+2(x^{2} )(5x)+(5x)^{2} )$

Simplifying the expression, we have,

$6x(x^{4}+10x^3+25x^{2} )$

Multiplying the term within the bracket, we get,

$6x^5+60x^4+150x^3$

Thus, the solution of the expression is $6x^5+60x^4+150x^3$