Answer :

Sure, let's expand the given expression step-by-step to find the simplified form.

The given expression is:

[tex]\[ 4x \left(4x^2 - x + 3\right) \][/tex]

To expand this expression, we need to distribute [tex]\(4x\)[/tex] to each term inside the parentheses. Follow these steps:

1. Multiply [tex]\(4x\)[/tex] by the first term inside the parentheses:
[tex]\[ 4x \times 4x^2 = 16x^3 \][/tex]

2. Multiply [tex]\(4x\)[/tex] by the second term inside the parentheses:
[tex]\[ 4x \times (-x) = -4x^2 \][/tex]

3. Multiply [tex]\(4x\)[/tex] by the third term inside the parentheses:
[tex]\[ 4x \times 3 = 12x \][/tex]

Now, combine all these results:

[tex]\[ 16x^3 - 4x^2 + 12x \][/tex]

So, the expanded form of the given expression [tex]\( 4x \left(4x^2 - x + 3\right) \)[/tex] is:

[tex]\[ 16x^3 - 4x^2 + 12x \][/tex]