Question

A rectangle has length (x+4) and width (2x-3). The area of a rectangle is the product of length and width. What is the product of (x+4) (2x-3)?

Answer 1

2x^2 -3x + 8x -12
2x^2 +5x -12

Answer 2

To find the product of (x+4) and (2x-3), we need to multiply these two expressions together.

Using the distributive property, we can expand the expression as follows:

(x + 4)(2x - 3) = x(2x) + x(-3) + 4(2x) + 4(-3)

Now, let's simplify each term:

= 2x^2 - 3x + 8x - 12

Combining like terms:

= 2x^2 + 5x - 12

So, the product of (x+4) and (2x-3) is 2x^2 + 5x - 12.