Question

Given a rectangular prism with width and height = 4x and length = 10x-6. The expression for the surface area of the rectangular prism shown in the picture is 2[(4x)(4x)] 4[(10x - 6)(4x)]. Simplify this expression.

Answer 1

The expression for the surface area of the rectangular prism can be simplified to 192x² - 96x.

Step-by-step explanation:

The expression for the surface area of the rectangular prism can be simplified as follows:

2[(4x)(4x)] + 4[(10x - 6)(4x)]

First, multiply the values within the square brackets:

2(16x²) + 4[(40x² - 24x)]

Next, simplify the expression by multiplying the values outside the square brackets:

32x² + 160x² - 96x

Finally, combine like terms to simplify further:

192x² - 96x

So, the simplified expression for the surface area of the rectangular prism is 192x² - 96x.