Asked by nope
Select the TWO expressions that are equivalent to the given expression.
4(x+3)−10+6x
(2 points)
4(x+3)−10+6x
(2 points)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 4(x + 3) - 10 + 6x \), we will start with distributing the \( 4 \) into the parentheses:
\[
4(x + 3) = 4x + 12
\]
Now, substitute this back into the expression:
\[
4x + 12 - 10 + 6x
\]
Next, simplify by combining like terms:
\[
4x + 6x + 12 - 10 = 10x + 2
\]
Now, the expression simplifies to \( 10x + 2 \).
Assuming you have options or expressions to choose from, the two equivalent expressions you should select are those which also simplify to \( 10x + 2 \). If you have specific options, please provide them for identification.
\[
4(x + 3) = 4x + 12
\]
Now, substitute this back into the expression:
\[
4x + 12 - 10 + 6x
\]
Next, simplify by combining like terms:
\[
4x + 6x + 12 - 10 = 10x + 2
\]
Now, the expression simplifies to \( 10x + 2 \).
Assuming you have options or expressions to choose from, the two equivalent expressions you should select are those which also simplify to \( 10x + 2 \). If you have specific options, please provide them for identification.