Question

Which is equivalent to the following expression?

Answer 1

30m +21

• 4(9m + 3) + 9 - 2(3m), distribute the numbers into the parenthesis
• 36m+12+9-6m, combine like terms
• 30m + 21

Answer 2

Answer:

$\huge{ \bold{ \boxed{ \text{30m + 21}}}}$

Step-by-step explanation:

$\text{4(9m + 3) + 9 - 2(3m) }$

$\text{Step \: 1} : \text{Distribute \: 4 \: through \: the \: parentheses}$

➵ $\text{36m + 12 + 9 - 2(3m)}$

$\text{Step \: 2} : \text{Multiply \: 2 \: by \: 3m}$

➵ $\text{36m + 12 + 9 - 6m}$

$\text{Step \: 3 : \: Combine \: like \: terms}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}$

➵ $\text{36m - 6m + 12 + 9}$

➵ $\text{30m \: + 12 + 9}$

$\text{Step \: 4 : Add \: the \: numbers}$

➵ $\text{30m \: + \: 21}$

$\sf{Hope \: I \: helped}$!

$\sf{Best \: regards}$ !

~TheAnimeGirl