Question

select all the expressions that are equivalent to 2(x + 3). (x + 3)·2 2x + 5 2x + 3·2 2x + 3 2x + 6

Explanation:

Step1: Apply distributive property

$2(x + 3)=2\times x+2\times3 = 2x+6$

Step2: Check each option

• For $(x + 3)\cdot2$, by the commutative property of multiplication, $(x + 3)\cdot2=2(x + 3)$.
• For $2x + 5$, since $2x+6

eq2x + 5$.

• For $2x+3\cdot2$, $3\cdot2 = 6$, so $2x+3\cdot2=2x + 6$.
• For $2x + 3$, since $2x+6

eq2x + 3$.

• For $2x + 6$, it is equal to $2(x + 3)$ after distribution.

Answer:

$(x + 3)\cdot2$, $2x + 3\cdot2$, $2x + 6$