How do you simplify #3(4a+9)-10(a-6)#?

2 Answers
Jul 19, 2018

Answer:

#2a + 87#

Explanation:

#3(4a+9) - 10(a-6)#

To simplify this, use the distributive property:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(3(4a+9) = (3 * 4a) + (3 * 9) = 12a + 27)#
and
#color(blue)(-10(a-6) = (-10 * a) + (-10 * -6) = -10a + 60)#

Combine the two expressions together:
#12a + 27 - 10a + 60#

Color-code like terms:
#color(red)(12a) quadcolor(green)(+quad27) quadcolor(red)(-quad10a) quadcolor(green)(+quad60)#

Combine like terms:
#2a + 87#

Hope this helps!

Jul 19, 2018

Answer:

#2a+87#

Explanation:

Let's distribute the #3# and the #-10# to their respective terms. We now have

#12a+27-10a+60#

We can combine our #a# terms to get #2a# and our constants to get #87#. We get

#2a+87#

Hope this helps!