Question

What is the product? (5 r + 2)(3 r minus 4)

Answer 1

(5r+2)(3r-4)

mutiply both sides together

(5r)(3r)= 15r^ 2

(5r)(-4)= -20r

(2)(3r)= 6r

(2)(-4)= -8

15r^2-20r+6r-8

Answer: 15r^2-14r-8

Answer 2

`(5r+2)(3r-4)= 15r^(2)-14r-8`

Explanation:

The given expression is

`(5r+2)(3r-4)`

To find the product of this expression, we have to use the distributive property, which is developed as follows

`5r(3r)-5r(4)+2(3r)-2(4)`

As you can observe, this property consists in "distributing" the first factor to the second factor. Now, we solve each product and then like terms.

`15r^(2)-20r+6r-8\\ 15r^(2)-14r-8`

Therefore, the product is

`(5r+2)(3r-4)= 15r^(2)-14r-8`