Home > Algebra > When to Use the Distributive Property

How do you simplify #3(6m+3)+8(m+6)+9(4m+5)#?

Answer 1

Eli Assouline

#62m+102#

#3(6m+3)+8(m+6)+9(4m+5)#

The numbers outside the braces should first be distributed to the numbers inside:

#18m+9+8m+48+36m+45# (Combine like terms)

#62m+102#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

Using the Distributive Property: #color(red)(a(b+c)=ab +ac)#

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102#

#" "# Given:

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)#

By moving a multiplication from outside to inside the parentheses, the distributive property eliminates the need for the brackets (parentheses).

#rArr (18m+9)+(8m+48)+(36m+45)#

To simplify, group similar terms together:

#rArr (18m+8m+36m)+(9+48+45)#

#rArr 62m+102#

Therefore,

#color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102#

I hope it's useful.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Savannah Anderson

To simplify 3(6m+3)+8(m+6)+9(4m+5), distribute the coefficients:

3(6m+3) = 18m + 9 8(m+6) = 8m + 48 9(4m+5) = 36m + 45

Combine like terms:

18m + 9 + 8m + 48 + 36m + 45

Combine the m terms:

18m + 8m + 36m = 62m

Combine the constants:

9 + 48 + 45 = 102

Combine the terms:

62m + 102

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.