Question

Which is equivalent to the following expression?

4(9m + 3) + 9 - 2(3m)
a. 16m + 9
b. 30m + 21
c. 30m + 9
d. 42m +21

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

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

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