Question

Hello I need help with my math homework number 17

Answer 1

Answer:

17) its equivalence is 3(x + 2y + 1) (option A)

Step-by-step explanation:
`\begin{gathered} Given: \\ 17)\text{ }3x\text{ + 6y + 3} \\ \\ We\text{ need to find the option that is equivalent to it} \end{gathered}`

To determine its equivalence, we will factorize the expression:

`\begin{gathered} 3x\text{ + 6y + 3 } \\ 3\text{ is common to all the terms :} \\ 3x\text{ = 3\lparen x\rparen} \\ 6y\text{ = 3\lparen2y\rparen} \\ 3\text{ = 3}(1) \end{gathered}`
`3x\text{ + 6y + 3 = 3\lparen x + 2y + 1\rparen}`

Hence, its equivalence is 3(x + 2y + 1) (option A)