Question

of the cereal boxes has a length than two times the width, $x$, and more than four times the ssions for the dimensions, then ments
the expression for the volume of the boxes is
$(2x + 3) cdot x cdot (4x + 1)$
complete
the simplified expression for the volume is
$8x^2 + 9x + 3$
$8x^2 + 14x + 3$
$8x^3 + 9x^2 + 3x$
$8x^3 + 14x^2 + 3x$
done

Explanation:

Step1: Multiply first two terms

$(2x+3) \cdot x = 2x^2 + 3x$

Step2: Multiply by the third term

$(2x^2 + 3x)(4x+1)$
First, distribute each term:
$2x^2 \cdot 4x + 2x^2 \cdot 1 + 3x \cdot 4x + 3x \cdot 1$
$=8x^3 + 2x^2 + 12x^2 + 3x$

Step3: Combine like terms

$8x^3 + (2x^2+12x^2) + 3x = 8x^3 + 14x^2 + 3x$

Answer:

$\boldsymbol{8x^3 + 14x^2 + 3x}$ (corresponding to the last option)