Respuesta :
(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:
[tex](5r+2)(3r-4)= 15r^{2}-14r-8[/tex]
Step-by-step explanation:
The given expression is
[tex](5r+2)(3r-4)[/tex]
To find the product of this expression, we have to use the distributive property, which is developed as follows
[tex]5r(3r)-5r(4)+2(3r)-2(4)[/tex]
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.
[tex]15r^{2}-20r+6r-8\\ 15r^{2}-14r-8[/tex]
Therefore, the product is
[tex](5r+2)(3r-4)= 15r^{2}-14r-8[/tex]