How do you simplify #5h (7-d) + 11hd#?

1 Answer
Jun 11, 2018

Answer:

#35h + 6hd#

Explanation:

#5h(7-d) + 11hd#

To simplify this, we first use the distributive property (shown below) to expand/simplify #5h(7-d)#:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(5h(7-d) = (5h * 7) + (5h * -d) = 35h - 5hd)#

Now put it back into the expression:
#35h - 5hd + 11hd#

We can still combine the like terms #-5hd# and #11hd#:
#35h + 6hd#

Hope this helps!