Question

a rectangle has a height of 5 and a width of $4x^2 - 2x - 6$. express the area of the entire rectangle. expression should be expanded. $4x^2$ $-2x$ $-6$ 5 area =

Explanation:

Step1: Recall rectangle area formula

Area = height $\times$ width

Step2: Substitute given values

$\text{Area} = 5 \times (4x^2 - 2x - 6)$

Step3: Distribute 5 to each term

$5\times4x^2 + 5\times(-2x) + 5\times(-6)$

Step4: Calculate each product

$20x^2 - 10x - 30$

Answer:

$20x^2 - 10x - 30$