Question

True or False. These two expressions are equivalent.

6x + 10 and 2(x+5)

true or false

Answer 1

The expressions 6x + 10 and 2(x + 5) are not equivalent. The correct equivalent expression for 6x + 10 in a factored form would be 2(3x + 5).

Step-by-step explanation:

The student is asking whether the expressions 6x + 10 and 2(x + 5) are equivalent. To determine this, we can simplify the second expression by applying the distributive property of multiplication over addition. Multiplying 2 by both x and 5 in the second expression gives us 2x + 10, which is not the same as the first expression with the coefficient 6 in front of x. Thus, the statement is false. The correct equivalent expression for 6x + 10 in a factored form would be 2(3x + 5).

Answer 2

Step-by-step explanation:

These two equations are not equivalent. 2(x+10) can be simplified to 2x+10, which would not be equal to 6x+10. So, the answer to your question would be false.