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. 5 $4x^2$ $-2x$ $-6$ area =

Explanation:

Step1: Recall rectangle area formula

Area = height $\times$ width

Step2: Substitute given values

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

Step3: Distribute the 5 to each term

$5\times4x^2 - 5\times2x - 5\times6$

Step4: Calculate each product

$20x^2 - 10x - 30$

Answer:

$20x^2 - 10x - 30$