Question

which pair of expressions below are equivalent? answer t + t + v and 3tv 7(9t + 7) and 63t + 7 t + t + t + t and t^4 7t + 9t and 16t

Explanation:

Step1: Simplify first - pair

$t + t + v=2t + v$, and $3tv$ is the product of $3$, $t$, and $v$. They are not equivalent.

Step2: Simplify second - pair

Using the distributive property $a(b + c)=ab+ac$, $7(9t + 7)=7\times9t+7\times7 = 63t+49$, not $63t + 7$. They are not equivalent.

Step3: Simplify third - pair

$t + t + t + t = 4t$, and $t^4=t\times t\times t\times t$. They are not equivalent.

Step4: Simplify fourth - pair

Combining like - terms, $7t+9t=(7 + 9)t=16t$. They are equivalent.

Answer:

$7t + 9t$ and $16t$