Question

a rectangle has a height of 3 and a width of $2x^2 + 3x - 5$. express the area of the entire rectangle. expression should be expanded.

Explanation:

Step1: Recall area formula for rectangle

$\text{Area} = \text{height} \times \text{width}$

Step2: Substitute given values

$\text{Area} = 3 \times (2x^2 + 3x - 5)$

Step3: Distribute the 3 to each term

$3\times2x^2 + 3\times3x + 3\times(-5)$

Step4: Calculate each product

$6x^2 + 9x - 15$

Answer:

$6x^2 + 9x - 15$