$$ 1 \leftarrow\left|\begin{array}{l} ext { Find the product. } \ x(5 x+4)^{2}\end{array} ight| \begin{array}{l}x(5 x+4)^{2}=\square \ ext { (Simplify your answer.) }\end{array} $$

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$$ 1 \leftarrow\left|\begin{array}{l}	ext { Find the product. } \ x(5 x+4)^{2}\end{array}ight| \begin{array}{l}x(5 x+4)^{2}=\square \ 	ext { (Simplify your answer.) }\end{array} $$

UpStudy AI · Accepted Answer

1. Write down the expression to be simplified:
   
   $$
   x(5x+4)^2
   $$

2. Expand the squared term using the formula $$ (a+b)^2 = a^2 + 2ab + b^2 $$. Here, $$ a = 5x $$ and $$ b = 4 $$:
   
   $$
   (5x+4)^2 = (5x)^2 + 2(5x)(4) + 4^2 = 25x^2 + 40x + 16
   $$

3. Multiply the expanded expression by $$ x $$:
   
   $$
   x(25x^2 + 40x + 16) = 25x^3 + 40x^2 + 16x
   $$

4. The simplified product is:
   
   $$
   25x^3 + 40x^2 + 16x
   $$
The simplified product is $$ 25x^3 + 40x^2 + 16x $$.

\( 1 \leftarrow\left|\begin{array}{l}\text { Find the product. } \\ x(5 x+4)^{2}\end{array}\right| \begin{array}{l}x(5 x+4)^{2}=\square \\ \text { (Simplify your answer.) }\end{array} \)

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